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Finding the Fourth Proportional to 283.29, 424.85 and 100.64

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Solution

The fourth proportional to 283.29, 424.85 and 100.64 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.29 : 424.85 = 100.64 : x
  2. Step 2: Convert to fraction form
    283.29/424.85 = 100.64/x
  3. Step 3: Cross multiply
    283.29x = 424.85 × 100.64
  4. Step 4: Simplify right side
    283.29x = 42,754.28
  5. Step 5: Solve for x
    x = 42,754.28/283.29
  6. Step 6: Final answer
    x = 150.92

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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.