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Finding the Fourth Proportional to 431.10, 647.15 and 268.88

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Solution

The fourth proportional to 431.10, 647.15 and 268.88 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 647.15 = 268.88 : x
  2. Step 2: Convert to fraction form
    431.10/647.15 = 268.88/x
  3. Step 3: Cross multiply
    431.10x = 647.15 × 268.88
  4. Step 4: Simplify right side
    431.10x = 174,001.11
  5. Step 5: Solve for x
    x = 174,001.11/431.10
  6. Step 6: Final answer
    x = 403.62

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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.