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Finding the Fourth Proportional to 412.60, 569.10 and 360.76

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Solution

The fourth proportional to 412.60, 569.10 and 360.76 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 569.10 = 360.76 : x
  2. Step 2: Convert to fraction form
    412.60/569.10 = 360.76/x
  3. Step 3: Cross multiply
    412.60x = 569.10 × 360.76
  4. Step 4: Simplify right side
    412.60x = 205,308.52
  5. Step 5: Solve for x
    x = 205,308.52/412.60
  6. Step 6: Final answer
    x = 497.60

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Find fourth proportional to 206.30, 284.55 and 180.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.