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Finding the Fourth Proportional to 306.54, 423.04 and 175.55

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Solution

The fourth proportional to 306.54, 423.04 and 175.55 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 423.04 = 175.55 : x
  2. Step 2: Convert to fraction form
    306.54/423.04 = 175.55/x
  3. Step 3: Cross multiply
    306.54x = 423.04 × 175.55
  4. Step 4: Simplify right side
    306.54x = 74,262.56
  5. Step 5: Solve for x
    x = 74,262.56/306.54
  6. Step 6: Final answer
    x = 242.26

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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.