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Finding the Fourth Proportional to 531.25, 733.13 and 298.38

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Solution

The fourth proportional to 531.25, 733.13 and 298.38 is: 411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.25 : 733.13 = 298.38 : x
  2. Step 2: Convert to fraction form
    531.25/733.13 = 298.38/x
  3. Step 3: Cross multiply
    531.25x = 733.13 × 298.38
  4. Step 4: Simplify right side
    531.25x = 218,751.33
  5. Step 5: Solve for x
    x = 218,751.33/531.25
  6. Step 6: Final answer
    x = 411.77

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1.5x scale

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.