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Finding the Fourth Proportional to 281.04, 387.42 and 215.42

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Solution

The fourth proportional to 281.04, 387.42 and 215.42 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.04 : 387.42 = 215.42 : x
  2. Step 2: Convert to fraction form
    281.04/387.42 = 215.42/x
  3. Step 3: Cross multiply
    281.04x = 387.42 × 215.42
  4. Step 4: Simplify right side
    281.04x = 83,458.02
  5. Step 5: Solve for x
    x = 83,458.02/281.04
  6. Step 6: Final answer
    x = 296.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.