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Finding the Fourth Proportional to 330.10, 497.13 and 298.02

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Solution

The fourth proportional to 330.10, 497.13 and 298.02 is: 448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.10 : 497.13 = 298.02 : x
  2. Step 2: Convert to fraction form
    330.10/497.13 = 298.02/x
  3. Step 3: Cross multiply
    330.10x = 497.13 × 298.02
  4. Step 4: Simplify right side
    330.10x = 148,154.68
  5. Step 5: Solve for x
    x = 148,154.68/330.10
  6. Step 6: Final answer
    x = 448.82

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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.