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Finding the Fourth Proportional to 178.78, 266.64 and 151.54

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Solution

The fourth proportional to 178.78, 266.64 and 151.54 is: 226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 266.64 = 151.54 : x
  2. Step 2: Convert to fraction form
    178.78/266.64 = 151.54/x
  3. Step 3: Cross multiply
    178.78x = 266.64 × 151.54
  4. Step 4: Simplify right side
    178.78x = 40,406.63
  5. Step 5: Solve for x
    x = 40,406.63/178.78
  6. Step 6: Final answer
    x = 226.01

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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.