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Finding the Fourth Proportional to 138.01, 205.82 and 117.58

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Solution

The fourth proportional to 138.01, 205.82 and 117.58 is: 175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 205.82 = 117.58 : x
  2. Step 2: Convert to fraction form
    138.01/205.82 = 117.58/x
  3. Step 3: Cross multiply
    138.01x = 205.82 × 117.58
  4. Step 4: Simplify right side
    138.01x = 24,200.12
  5. Step 5: Solve for x
    x = 24,200.12/138.01
  6. Step 6: Final answer
    x = 175.35

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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.