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Finding the Fourth Proportional to 242.62, 334.60 and 176.67

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Solution

The fourth proportional to 242.62, 334.60 and 176.67 is: 243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.62 : 334.60 = 176.67 : x
  2. Step 2: Convert to fraction form
    242.62/334.60 = 176.67/x
  3. Step 3: Cross multiply
    242.62x = 334.60 × 176.67
  4. Step 4: Simplify right side
    242.62x = 59,113.34
  5. Step 5: Solve for x
    x = 59,113.34/242.62
  6. Step 6: Final answer
    x = 243.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.