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Finding the Fourth Proportional to 175.13, 242.07 and 159.53

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Solution

The fourth proportional to 175.13, 242.07 and 159.53 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 242.07 = 159.53 : x
  2. Step 2: Convert to fraction form
    175.13/242.07 = 159.53/x
  3. Step 3: Cross multiply
    175.13x = 242.07 × 159.53
  4. Step 4: Simplify right side
    175.13x = 38,617.43
  5. Step 5: Solve for x
    x = 38,617.43/175.13
  6. Step 6: Final answer
    x = 220.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.