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Finding the Fourth Proportional to 287.60, 429.44 and 271.12

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Solution

The fourth proportional to 287.60, 429.44 and 271.12 is: 404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 429.44 = 271.12 : x
  2. Step 2: Convert to fraction form
    287.60/429.44 = 271.12/x
  3. Step 3: Cross multiply
    287.60x = 429.44 × 271.12
  4. Step 4: Simplify right side
    287.60x = 116,429.77
  5. Step 5: Solve for x
    x = 116,429.77/287.60
  6. Step 6: Final answer
    x = 404.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.