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Finding the Fourth Proportional to 330.09, 492.87 and 291.27

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Solution

The fourth proportional to 330.09, 492.87 and 291.27 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.09 : 492.87 = 291.27 : x
  2. Step 2: Convert to fraction form
    330.09/492.87 = 291.27/x
  3. Step 3: Cross multiply
    330.09x = 492.87 × 291.27
  4. Step 4: Simplify right side
    330.09x = 143,555.56
  5. Step 5: Solve for x
    x = 143,555.56/330.09
  6. Step 6: Final answer
    x = 434.89

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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.