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Finding the Fourth Proportional to 412.76, 569.43 and 255.29

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Solution

The fourth proportional to 412.76, 569.43 and 255.29 is: 352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 569.43 = 255.29 : x
  2. Step 2: Convert to fraction form
    412.76/569.43 = 255.29/x
  3. Step 3: Cross multiply
    412.76x = 569.43 × 255.29
  4. Step 4: Simplify right side
    412.76x = 145,366.94
  5. Step 5: Solve for x
    x = 145,366.94/412.76
  6. Step 6: Final answer
    x = 352.18

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Find fourth proportional to 206.38, 284.72 and 127.64
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Double scale
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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.