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Finding the Fourth Proportional to 158.19, 238.19 and 117.90

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Solution

The fourth proportional to 158.19, 238.19 and 117.90 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.19 : 238.19 = 117.90 : x
  2. Step 2: Convert to fraction form
    158.19/238.19 = 117.90/x
  3. Step 3: Cross multiply
    158.19x = 238.19 × 117.90
  4. Step 4: Simplify right side
    158.19x = 28,082.01
  5. Step 5: Solve for x
    x = 28,082.01/158.19
  6. Step 6: Final answer
    x = 177.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.