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Finding the Fourth Proportional to 304.26, 458.66 and 291.90

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Solution

The fourth proportional to 304.26, 458.66 and 291.90 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.26 : 458.66 = 291.90 : x
  2. Step 2: Convert to fraction form
    304.26/458.66 = 291.90/x
  3. Step 3: Cross multiply
    304.26x = 458.66 × 291.90
  4. Step 4: Simplify right side
    304.26x = 133,885.30
  5. Step 5: Solve for x
    x = 133,885.30/304.26
  6. Step 6: Final answer
    x = 440.04

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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.