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Finding the Fourth Proportional to 117.57, 175.61 and 99.35

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Solution

The fourth proportional to 117.57, 175.61 and 99.35 is: 148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 175.61 = 99.35 : x
  2. Step 2: Convert to fraction form
    117.57/175.61 = 99.35/x
  3. Step 3: Cross multiply
    117.57x = 175.61 × 99.35
  4. Step 4: Simplify right side
    117.57x = 17,446.85
  5. Step 5: Solve for x
    x = 17,446.85/117.57
  6. Step 6: Final answer
    x = 148.40

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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.