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Finding the Fourth Proportional to 560.31, 841.16 and 355.74

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Solution

The fourth proportional to 560.31, 841.16 and 355.74 is: 534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.31 : 841.16 = 355.74 : x
  2. Step 2: Convert to fraction form
    560.31/841.16 = 355.74/x
  3. Step 3: Cross multiply
    560.31x = 841.16 × 355.74
  4. Step 4: Simplify right side
    560.31x = 299,234.26
  5. Step 5: Solve for x
    x = 299,234.26/560.31
  6. Step 6: Final answer
    x = 534.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.