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Finding the Fourth Proportional to 306.97, 423.57 and 176.02

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Solution

The fourth proportional to 306.97, 423.57 and 176.02 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.97 : 423.57 = 176.02 : x
  2. Step 2: Convert to fraction form
    306.97/423.57 = 176.02/x
  3. Step 3: Cross multiply
    306.97x = 423.57 × 176.02
  4. Step 4: Simplify right side
    306.97x = 74,556.79
  5. Step 5: Solve for x
    x = 74,556.79/306.97
  6. Step 6: Final answer
    x = 242.88

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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.