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Finding the Fourth Proportional to 309.10, 458.86 and 296.14

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Solution

The fourth proportional to 309.10, 458.86 and 296.14 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 458.86 = 296.14 : x
  2. Step 2: Convert to fraction form
    309.10/458.86 = 296.14/x
  3. Step 3: Cross multiply
    309.10x = 458.86 × 296.14
  4. Step 4: Simplify right side
    309.10x = 135,886.80
  5. Step 5: Solve for x
    x = 135,886.80/309.10
  6. Step 6: Final answer
    x = 439.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.