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Finding the Fourth Proportional to 531, 732.60 and 334.36

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Solution

The fourth proportional to 531, 732.60 and 334.36 is: 461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531 : 732.60 = 334.36 : x
  2. Step 2: Convert to fraction form
    531/732.60 = 334.36/x
  3. Step 3: Cross multiply
    531x = 732.60 × 334.36
  4. Step 4: Simplify right side
    531x = 244,952.14
  5. Step 5: Solve for x
    x = 244,952.14/531
  6. Step 6: Final answer
    x = 461.30

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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.