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Finding the Fourth Proportional to 117.98, 163.08 and 101.57

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Solution

The fourth proportional to 117.98, 163.08 and 101.57 is: 140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 163.08 = 101.57 : x
  2. Step 2: Convert to fraction form
    117.98/163.08 = 101.57/x
  3. Step 3: Cross multiply
    117.98x = 163.08 × 101.57
  4. Step 4: Simplify right side
    117.98x = 16,564.04
  5. Step 5: Solve for x
    x = 16,564.04/117.98
  6. Step 6: Final answer
    x = 140.40

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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.