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Finding the Fourth Proportional to 178.41, 265.94 and 158.79

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Solution

The fourth proportional to 178.41, 265.94 and 158.79 is: 236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.41 : 265.94 = 158.79 : x
  2. Step 2: Convert to fraction form
    178.41/265.94 = 158.79/x
  3. Step 3: Cross multiply
    178.41x = 265.94 × 158.79
  4. Step 4: Simplify right side
    178.41x = 42,226.49
  5. Step 5: Solve for x
    x = 42,226.49/178.41
  6. Step 6: Final answer
    x = 236.69

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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.