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Finding the Fourth Proportional to 265.59, 399.89 and 219.74

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Solution

The fourth proportional to 265.59, 399.89 and 219.74 is: 330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.59 : 399.89 = 219.74 : x
  2. Step 2: Convert to fraction form
    265.59/399.89 = 219.74/x
  3. Step 3: Cross multiply
    265.59x = 399.89 × 219.74
  4. Step 4: Simplify right side
    265.59x = 87,870.38
  5. Step 5: Solve for x
    x = 87,870.38/265.59
  6. Step 6: Final answer
    x = 330.85

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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.