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Finding the Fourth Proportional to 159.96, 240.03 and 91.53

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Solution

The fourth proportional to 159.96, 240.03 and 91.53 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.96 : 240.03 = 91.53 : x
  2. Step 2: Convert to fraction form
    159.96/240.03 = 91.53/x
  3. Step 3: Cross multiply
    159.96x = 240.03 × 91.53
  4. Step 4: Simplify right side
    159.96x = 21,969.95
  5. Step 5: Solve for x
    x = 21,969.95/159.96
  6. Step 6: Final answer
    x = 137.35

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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.