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Finding the Fourth Proportional to 251.60, 377.28 and 78.23

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Solution

The fourth proportional to 251.60, 377.28 and 78.23 is: 117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.60 : 377.28 = 78.23 : x
  2. Step 2: Convert to fraction form
    251.60/377.28 = 78.23/x
  3. Step 3: Cross multiply
    251.60x = 377.28 × 78.23
  4. Step 4: Simplify right side
    251.60x = 29,514.61
  5. Step 5: Solve for x
    x = 29,514.61/251.60
  6. Step 6: Final answer
    x = 117.31

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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.