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Finding the Fourth Proportional to 287.70, 431.40 and 232.72

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Solution

The fourth proportional to 287.70, 431.40 and 232.72 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.70 : 431.40 = 232.72 : x
  2. Step 2: Convert to fraction form
    287.70/431.40 = 232.72/x
  3. Step 3: Cross multiply
    287.70x = 431.40 × 232.72
  4. Step 4: Simplify right side
    287.70x = 100,393.25
  5. Step 5: Solve for x
    x = 100,393.25/287.70
  6. Step 6: Final answer
    x = 348.96

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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.