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Finding the Fourth Proportional to 531.02, 732.84 and 298.15

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Solution

The fourth proportional to 531.02, 732.84 and 298.15 is: 411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.02 : 732.84 = 298.15 : x
  2. Step 2: Convert to fraction form
    531.02/732.84 = 298.15/x
  3. Step 3: Cross multiply
    531.02x = 732.84 × 298.15
  4. Step 4: Simplify right side
    531.02x = 218,496.25
  5. Step 5: Solve for x
    x = 218,496.25/531.02
  6. Step 6: Final answer
    x = 411.47

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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.