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Finding the Fourth Proportional to 499.31, 749.23 and 256.04

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Solution

The fourth proportional to 499.31, 749.23 and 256.04 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.31 : 749.23 = 256.04 : x
  2. Step 2: Convert to fraction form
    499.31/749.23 = 256.04/x
  3. Step 3: Cross multiply
    499.31x = 749.23 × 256.04
  4. Step 4: Simplify right side
    499.31x = 191,828.46
  5. Step 5: Solve for x
    x = 191,828.46/499.31
  6. Step 6: Final answer
    x = 384.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.