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Finding the Fourth Proportional to 906.17, 1,358.87 and 281.39

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Solution

The fourth proportional to 906.17, 1,358.87 and 281.39 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.17 : 1,358.87 = 281.39 : x
  2. Step 2: Convert to fraction form
    906.17/1,358.87 = 281.39/x
  3. Step 3: Cross multiply
    906.17x = 1,358.87 × 281.39
  4. Step 4: Simplify right side
    906.17x = 382,364.23
  5. Step 5: Solve for x
    x = 382,364.23/906.17
  6. Step 6: Final answer
    x = 421.96

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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.