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Finding the Fourth Proportional to 178.30, 266.32 and 142.12

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Solution

The fourth proportional to 178.30, 266.32 and 142.12 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 266.32 = 142.12 : x
  2. Step 2: Convert to fraction form
    178.30/266.32 = 142.12/x
  3. Step 3: Cross multiply
    178.30x = 266.32 × 142.12
  4. Step 4: Simplify right side
    178.30x = 37,849.40
  5. Step 5: Solve for x
    x = 37,849.40/178.30
  6. Step 6: Final answer
    x = 212.28

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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.