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Finding the Fourth Proportional to 330.85, 497.19 and 176.89

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Solution

The fourth proportional to 330.85, 497.19 and 176.89 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.85 : 497.19 = 176.89 : x
  2. Step 2: Convert to fraction form
    330.85/497.19 = 176.89/x
  3. Step 3: Cross multiply
    330.85x = 497.19 × 176.89
  4. Step 4: Simplify right side
    330.85x = 87,947.94
  5. Step 5: Solve for x
    x = 87,947.94/330.85
  6. Step 6: Final answer
    x = 265.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.