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Finding the Fourth Proportional to 178.54, 266.72 and 142.51

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Solution

The fourth proportional to 178.54, 266.72 and 142.51 is: 212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 266.72 = 142.51 : x
  2. Step 2: Convert to fraction form
    178.54/266.72 = 142.51/x
  3. Step 3: Cross multiply
    178.54x = 266.72 × 142.51
  4. Step 4: Simplify right side
    178.54x = 38,009.91
  5. Step 5: Solve for x
    x = 38,009.91/178.54
  6. Step 6: Final answer
    x = 212.89

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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.