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Finding the Fourth Proportional to 431.79, 647.88 and 249.13

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Solution

The fourth proportional to 431.79, 647.88 and 249.13 is: 373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.79 : 647.88 = 249.13 : x
  2. Step 2: Convert to fraction form
    431.79/647.88 = 249.13/x
  3. Step 3: Cross multiply
    431.79x = 647.88 × 249.13
  4. Step 4: Simplify right side
    431.79x = 161,406.34
  5. Step 5: Solve for x
    x = 161,406.34/431.79
  6. Step 6: Final answer
    x = 373.81

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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.