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Finding the Fourth Proportional to 178.79, 266.74 and 152.81

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Solution

The fourth proportional to 178.79, 266.74 and 152.81 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.79 : 266.74 = 152.81 : x
  2. Step 2: Convert to fraction form
    178.79/266.74 = 152.81/x
  3. Step 3: Cross multiply
    178.79x = 266.74 × 152.81
  4. Step 4: Simplify right side
    178.79x = 40,760.54
  5. Step 5: Solve for x
    x = 40,760.54/178.79
  6. Step 6: Final answer
    x = 227.98

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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.