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Finding the Fourth Proportional to 175.42, 242.08 and 96.74

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Solution

The fourth proportional to 175.42, 242.08 and 96.74 is: 133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.42 : 242.08 = 96.74 : x
  2. Step 2: Convert to fraction form
    175.42/242.08 = 96.74/x
  3. Step 3: Cross multiply
    175.42x = 242.08 × 96.74
  4. Step 4: Simplify right side
    175.42x = 23,418.82
  5. Step 5: Solve for x
    x = 23,418.82/175.42
  6. Step 6: Final answer
    x = 133.50

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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.