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Finding the Fourth Proportional to 412.76, 569.50 and 294.77

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Solution

The fourth proportional to 412.76, 569.50 and 294.77 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 569.50 = 294.77 : x
  2. Step 2: Convert to fraction form
    412.76/569.50 = 294.77/x
  3. Step 3: Cross multiply
    412.76x = 569.50 × 294.77
  4. Step 4: Simplify right side
    412.76x = 167,872.20
  5. Step 5: Solve for x
    x = 167,872.20/412.76
  6. Step 6: Final answer
    x = 406.70

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Find fourth proportional to 206.38, 284.75 and 147.39
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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.