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Finding the Fourth Proportional to 287.32, 431.09 and 184.86

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Solution

The fourth proportional to 287.32, 431.09 and 184.86 is: 277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 431.09 = 184.86 : x
  2. Step 2: Convert to fraction form
    287.32/431.09 = 184.86/x
  3. Step 3: Cross multiply
    287.32x = 431.09 × 184.86
  4. Step 4: Simplify right side
    287.32x = 79,691.30
  5. Step 5: Solve for x
    x = 79,691.30/287.32
  6. Step 6: Final answer
    x = 277.36

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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.