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Finding the Fourth Proportional to 178.85, 266.98 and 165.49

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Solution

The fourth proportional to 178.85, 266.98 and 165.49 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.85 : 266.98 = 165.49 : x
  2. Step 2: Convert to fraction form
    178.85/266.98 = 165.49/x
  3. Step 3: Cross multiply
    178.85x = 266.98 × 165.49
  4. Step 4: Simplify right side
    178.85x = 44,182.52
  5. Step 5: Solve for x
    x = 44,182.52/178.85
  6. Step 6: Final answer
    x = 247.04

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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.