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Finding the Fourth Proportional to 306.32, 462.31 and 306.32

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Solution

The fourth proportional to 306.32, 462.31 and 306.32 is: 462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 462.31 = 306.32 : x
  2. Step 2: Convert to fraction form
    306.32/462.31 = 306.32/x
  3. Step 3: Cross multiply
    306.32x = 462.31 × 306.32
  4. Step 4: Simplify right side
    306.32x = 141,611.72
  5. Step 5: Solve for x
    x = 141,611.72/306.32
  6. Step 6: Final answer
    x = 462.31

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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.