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Finding the Fourth Proportional to 309.28, 460.28 and 297.76

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Solution

The fourth proportional to 309.28, 460.28 and 297.76 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 460.28 = 297.76 : x
  2. Step 2: Convert to fraction form
    309.28/460.28 = 297.76/x
  3. Step 3: Cross multiply
    309.28x = 460.28 × 297.76
  4. Step 4: Simplify right side
    309.28x = 137,052.97
  5. Step 5: Solve for x
    x = 137,052.97/309.28
  6. Step 6: Final answer
    x = 443.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.