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Finding the Fourth Proportional to 283.82, 424.91 and 174.87

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Solution

The fourth proportional to 283.82, 424.91 and 174.87 is: 261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 424.91 = 174.87 : x
  2. Step 2: Convert to fraction form
    283.82/424.91 = 174.87/x
  3. Step 3: Cross multiply
    283.82x = 424.91 × 174.87
  4. Step 4: Simplify right side
    283.82x = 74,304.01
  5. Step 5: Solve for x
    x = 74,304.01/283.82
  6. Step 6: Final answer
    x = 261.80

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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.