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Finding the Fourth Proportional to 330.48, 498.15 and 294.84

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Solution

The fourth proportional to 330.48, 498.15 and 294.84 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 498.15 = 294.84 : x
  2. Step 2: Convert to fraction form
    330.48/498.15 = 294.84/x
  3. Step 3: Cross multiply
    330.48x = 498.15 × 294.84
  4. Step 4: Simplify right side
    330.48x = 146,874.55
  5. Step 5: Solve for x
    x = 146,874.55/330.48
  6. Step 6: Final answer
    x = 444.43

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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.