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Finding the Fourth Proportional to 431.80, 647.18 and 248.81

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Solution

The fourth proportional to 431.80, 647.18 and 248.81 is: 372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 647.18 = 248.81 : x
  2. Step 2: Convert to fraction form
    431.80/647.18 = 248.81/x
  3. Step 3: Cross multiply
    431.80x = 647.18 × 248.81
  4. Step 4: Simplify right side
    431.80x = 161,027.10
  5. Step 5: Solve for x
    x = 161,027.10/431.80
  6. Step 6: Final answer
    x = 372.92

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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.