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Finding the Fourth Proportional to 283.52, 424.85 and 138.93

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Solution

The fourth proportional to 283.52, 424.85 and 138.93 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.52 : 424.85 = 138.93 : x
  2. Step 2: Convert to fraction form
    283.52/424.85 = 138.93/x
  3. Step 3: Cross multiply
    283.52x = 424.85 × 138.93
  4. Step 4: Simplify right side
    283.52x = 59,023.72
  5. Step 5: Solve for x
    x = 59,023.72/283.52
  6. Step 6: Final answer
    x = 208.19

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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.