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Finding the Fourth Proportional to 531.76, 733.60 and 357.52

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Solution

The fourth proportional to 531.76, 733.60 and 357.52 is: 493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.76 : 733.60 = 357.52 : x
  2. Step 2: Convert to fraction form
    531.76/733.60 = 357.52/x
  3. Step 3: Cross multiply
    531.76x = 733.60 × 357.52
  4. Step 4: Simplify right side
    531.76x = 262,276.67
  5. Step 5: Solve for x
    x = 262,276.67/531.76
  6. Step 6: Final answer
    x = 493.22

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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.