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Finding the Fourth Proportional to 306.32, 462.26 and 297.20

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Solution

The fourth proportional to 306.32, 462.26 and 297.20 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 462.26 = 297.20 : x
  2. Step 2: Convert to fraction form
    306.32/462.26 = 297.20/x
  3. Step 3: Cross multiply
    306.32x = 462.26 × 297.20
  4. Step 4: Simplify right side
    306.32x = 137,383.67
  5. Step 5: Solve for x
    x = 137,383.67/306.32
  6. Step 6: Final answer
    x = 448.50

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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.