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Finding the Fourth Proportional to 306.87, 423.57 and 245.13

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Solution

The fourth proportional to 306.87, 423.57 and 245.13 is: 338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.87 : 423.57 = 245.13 : x
  2. Step 2: Convert to fraction form
    306.87/423.57 = 245.13/x
  3. Step 3: Cross multiply
    306.87x = 423.57 × 245.13
  4. Step 4: Simplify right side
    306.87x = 103,829.71
  5. Step 5: Solve for x
    x = 103,829.71/306.87
  6. Step 6: Final answer
    x = 338.35

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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.