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Finding the Fourth Proportional to 175.50, 242.15 and 101.81

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Solution

The fourth proportional to 175.50, 242.15 and 101.81 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 242.15 = 101.81 : x
  2. Step 2: Convert to fraction form
    175.50/242.15 = 101.81/x
  3. Step 3: Cross multiply
    175.50x = 242.15 × 101.81
  4. Step 4: Simplify right side
    175.50x = 24,653.39
  5. Step 5: Solve for x
    x = 24,653.39/175.50
  6. Step 6: Final answer
    x = 140.48

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