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Finding the Fourth Proportional to 180.14, 268.64 and 178.52

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Solution

The fourth proportional to 180.14, 268.64 and 178.52 is: 266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 268.64 = 178.52 : x
  2. Step 2: Convert to fraction form
    180.14/268.64 = 178.52/x
  3. Step 3: Cross multiply
    180.14x = 268.64 × 178.52
  4. Step 4: Simplify right side
    180.14x = 47,957.61
  5. Step 5: Solve for x
    x = 47,957.61/180.14
  6. Step 6: Final answer
    x = 266.22

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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.