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Finding the Fourth Proportional to 178.02, 265.23 and 168.84

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Solution

The fourth proportional to 178.02, 265.23 and 168.84 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 265.23 = 168.84 : x
  2. Step 2: Convert to fraction form
    178.02/265.23 = 168.84/x
  3. Step 3: Cross multiply
    178.02x = 265.23 × 168.84
  4. Step 4: Simplify right side
    178.02x = 44,781.43
  5. Step 5: Solve for x
    x = 44,781.43/178.02
  6. Step 6: Final answer
    x = 251.55

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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.