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Finding the Fourth Proportional to 175.75, 242.54 and 101.07

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Solution

The fourth proportional to 175.75, 242.54 and 101.07 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 242.54 = 101.07 : x
  2. Step 2: Convert to fraction form
    175.75/242.54 = 101.07/x
  3. Step 3: Cross multiply
    175.75x = 242.54 × 101.07
  4. Step 4: Simplify right side
    175.75x = 24,513.52
  5. Step 5: Solve for x
    x = 24,513.52/175.75
  6. Step 6: Final answer
    x = 139.48

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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.