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Finding the Fourth Proportional to 178.57, 266.48 and 150.67

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Solution

The fourth proportional to 178.57, 266.48 and 150.67 is: 224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.57 : 266.48 = 150.67 : x
  2. Step 2: Convert to fraction form
    178.57/266.48 = 150.67/x
  3. Step 3: Cross multiply
    178.57x = 266.48 × 150.67
  4. Step 4: Simplify right side
    178.57x = 40,149.21
  5. Step 5: Solve for x
    x = 40,149.21/178.57
  6. Step 6: Final answer
    x = 224.84

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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.