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Finding the Fourth Proportional to 178.88, 247.04 and 146.48

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Solution

The fourth proportional to 178.88, 247.04 and 146.48 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 247.04 = 146.48 : x
  2. Step 2: Convert to fraction form
    178.88/247.04 = 146.48/x
  3. Step 3: Cross multiply
    178.88x = 247.04 × 146.48
  4. Step 4: Simplify right side
    178.88x = 36,186.42
  5. Step 5: Solve for x
    x = 36,186.42/178.88
  6. Step 6: Final answer
    x = 202.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.