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Finding the Fourth Proportional to 330.65, 498.27 and 298.17

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Solution

The fourth proportional to 330.65, 498.27 and 298.17 is: 449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.65 : 498.27 = 298.17 : x
  2. Step 2: Convert to fraction form
    330.65/498.27 = 298.17/x
  3. Step 3: Cross multiply
    330.65x = 498.27 × 298.17
  4. Step 4: Simplify right side
    330.65x = 148,569.17
  5. Step 5: Solve for x
    x = 148,569.17/330.65
  6. Step 6: Final answer
    x = 449.33

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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.