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Finding the Fourth Proportional to 178.46, 266.66 and 142.02

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Solution

The fourth proportional to 178.46, 266.66 and 142.02 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 266.66 = 142.02 : x
  2. Step 2: Convert to fraction form
    178.46/266.66 = 142.02/x
  3. Step 3: Cross multiply
    178.46x = 266.66 × 142.02
  4. Step 4: Simplify right side
    178.46x = 37,871.05
  5. Step 5: Solve for x
    x = 37,871.05/178.46
  6. Step 6: Final answer
    x = 212.21

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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.