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Finding the Fourth Proportional to 178.18, 265.85 and 158.69

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Solution

The fourth proportional to 178.18, 265.85 and 158.69 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.18 : 265.85 = 158.69 : x
  2. Step 2: Convert to fraction form
    178.18/265.85 = 158.69/x
  3. Step 3: Cross multiply
    178.18x = 265.85 × 158.69
  4. Step 4: Simplify right side
    178.18x = 42,186.94
  5. Step 5: Solve for x
    x = 42,186.94/178.18
  6. Step 6: Final answer
    x = 236.77

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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.