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Finding the Fourth Proportional to 240.32, 360.23 and 77.90

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Solution

The fourth proportional to 240.32, 360.23 and 77.90 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.32 : 360.23 = 77.90 : x
  2. Step 2: Convert to fraction form
    240.32/360.23 = 77.90/x
  3. Step 3: Cross multiply
    240.32x = 360.23 × 77.90
  4. Step 4: Simplify right side
    240.32x = 28,060.31
  5. Step 5: Solve for x
    x = 28,060.31/240.32
  6. Step 6: Final answer
    x = 116.76

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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.