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Finding the Fourth Proportional to 287.72, 431.68 and 125.42

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Solution

The fourth proportional to 287.72, 431.68 and 125.42 is: 188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.72 : 431.68 = 125.42 : x
  2. Step 2: Convert to fraction form
    287.72/431.68 = 125.42/x
  3. Step 3: Cross multiply
    287.72x = 431.68 × 125.42
  4. Step 4: Simplify right side
    287.72x = 54,139.07
  5. Step 5: Solve for x
    x = 54,139.07/287.72
  6. Step 6: Final answer
    x = 188.17

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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.