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Finding the Fourth Proportional to 306.60, 462.20 and 286.23

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Solution

The fourth proportional to 306.60, 462.20 and 286.23 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.60 : 462.20 = 286.23 : x
  2. Step 2: Convert to fraction form
    306.60/462.20 = 286.23/x
  3. Step 3: Cross multiply
    306.60x = 462.20 × 286.23
  4. Step 4: Simplify right side
    306.60x = 132,294.07
  5. Step 5: Solve for x
    x = 132,294.07/306.60
  6. Step 6: Final answer
    x = 431.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.