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Finding the Fourth Proportional to 992.30, 1,488.38 and 251.91

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Solution

The fourth proportional to 992.30, 1,488.38 and 251.91 is: 377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.30 : 1,488.38 = 251.91 : x
  2. Step 2: Convert to fraction form
    992.30/1,488.38 = 251.91/x
  3. Step 3: Cross multiply
    992.30x = 1,488.38 × 251.91
  4. Step 4: Simplify right side
    992.30x = 374,936.55
  5. Step 5: Solve for x
    x = 374,936.55/992.30
  6. Step 6: Final answer
    x = 377.85

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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.