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Finding the Fourth Proportional to 306.62, 423.12 and 175.62

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Solution

The fourth proportional to 306.62, 423.12 and 175.62 is: 242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.62 : 423.12 = 175.62 : x
  2. Step 2: Convert to fraction form
    306.62/423.12 = 175.62/x
  3. Step 3: Cross multiply
    306.62x = 423.12 × 175.62
  4. Step 4: Simplify right side
    306.62x = 74,308.33
  5. Step 5: Solve for x
    x = 74,308.33/306.62
  6. Step 6: Final answer
    x = 242.35

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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.