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Finding the Fourth Proportional to 159.50, 240.48 and 127.82

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Solution

The fourth proportional to 159.50, 240.48 and 127.82 is: 192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 240.48 = 127.82 : x
  2. Step 2: Convert to fraction form
    159.50/240.48 = 127.82/x
  3. Step 3: Cross multiply
    159.50x = 240.48 × 127.82
  4. Step 4: Simplify right side
    159.50x = 30,738.15
  5. Step 5: Solve for x
    x = 30,738.15/159.50
  6. Step 6: Final answer
    x = 192.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.