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Finding the Fourth Proportional to 117.68, 175.72 and 100.28

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Solution

The fourth proportional to 117.68, 175.72 and 100.28 is: 149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.68 : 175.72 = 100.28 : x
  2. Step 2: Convert to fraction form
    117.68/175.72 = 100.28/x
  3. Step 3: Cross multiply
    117.68x = 175.72 × 100.28
  4. Step 4: Simplify right side
    117.68x = 17,621.20
  5. Step 5: Solve for x
    x = 17,621.20/117.68
  6. Step 6: Final answer
    x = 149.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.