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Finding the Fourth Proportional to 531.03, 731.65 and 356.07

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Solution

The fourth proportional to 531.03, 731.65 and 356.07 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.03 : 731.65 = 356.07 : x
  2. Step 2: Convert to fraction form
    531.03/731.65 = 356.07/x
  3. Step 3: Cross multiply
    531.03x = 731.65 × 356.07
  4. Step 4: Simplify right side
    531.03x = 260,518.62
  5. Step 5: Solve for x
    x = 260,518.62/531.03
  6. Step 6: Final answer
    x = 490.59

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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.