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Finding the Fourth Proportional to 178.38, 266.45 and 158.22

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Solution

The fourth proportional to 178.38, 266.45 and 158.22 is: 236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 266.45 = 158.22 : x
  2. Step 2: Convert to fraction form
    178.38/266.45 = 158.22/x
  3. Step 3: Cross multiply
    178.38x = 266.45 × 158.22
  4. Step 4: Simplify right side
    178.38x = 42,156.93
  5. Step 5: Solve for x
    x = 42,156.93/178.38
  6. Step 6: Final answer
    x = 236.33

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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.