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Finding the Fourth Proportional to 531.24, 733.12 and 298.36

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Solution

The fourth proportional to 531.24, 733.12 and 298.36 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 733.12 = 298.36 : x
  2. Step 2: Convert to fraction form
    531.24/733.12 = 298.36/x
  3. Step 3: Cross multiply
    531.24x = 733.12 × 298.36
  4. Step 4: Simplify right side
    531.24x = 218,733.68
  5. Step 5: Solve for x
    x = 218,733.68/531.24
  6. Step 6: Final answer
    x = 411.74

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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.