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Finding the Fourth Proportional to 287.69, 431.54 and 71.27

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Solution

The fourth proportional to 287.69, 431.54 and 71.27 is: 106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 431.54 = 71.27 : x
  2. Step 2: Convert to fraction form
    287.69/431.54 = 71.27/x
  3. Step 3: Cross multiply
    287.69x = 431.54 × 71.27
  4. Step 4: Simplify right side
    287.69x = 30,753.34
  5. Step 5: Solve for x
    x = 30,753.34/287.69
  6. Step 6: Final answer
    x = 106.90

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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.