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Finding the Fourth Proportional to 327.66, 488.96 and 291.30

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Solution

The fourth proportional to 327.66, 488.96 and 291.30 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 488.96 = 291.30 : x
  2. Step 2: Convert to fraction form
    327.66/488.96 = 291.30/x
  3. Step 3: Cross multiply
    327.66x = 488.96 × 291.30
  4. Step 4: Simplify right side
    327.66x = 142,432.59
  5. Step 5: Solve for x
    x = 142,432.59/327.66
  6. Step 6: Final answer
    x = 434.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.