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Finding the Fourth Proportional to 287.27, 428.52 and 278.16

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Solution

The fourth proportional to 287.27, 428.52 and 278.16 is: 414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.27 : 428.52 = 278.16 : x
  2. Step 2: Convert to fraction form
    287.27/428.52 = 278.16/x
  3. Step 3: Cross multiply
    287.27x = 428.52 × 278.16
  4. Step 4: Simplify right side
    287.27x = 119,195.42
  5. Step 5: Solve for x
    x = 119,195.42/287.27
  6. Step 6: Final answer
    x = 414.92

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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.