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Finding the Fourth Proportional to 331.62, 456.61 and 289.93

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Solution

The fourth proportional to 331.62, 456.61 and 289.93 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 456.61 = 289.93 : x
  2. Step 2: Convert to fraction form
    331.62/456.61 = 289.93/x
  3. Step 3: Cross multiply
    331.62x = 456.61 × 289.93
  4. Step 4: Simplify right side
    331.62x = 132,385.29
  5. Step 5: Solve for x
    x = 132,385.29/331.62
  6. Step 6: Final answer
    x = 399.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.