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Finding the Fourth Proportional to 306.82, 458.09 and 260.52

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Solution

The fourth proportional to 306.82, 458.09 and 260.52 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 458.09 = 260.52 : x
  2. Step 2: Convert to fraction form
    306.82/458.09 = 260.52/x
  3. Step 3: Cross multiply
    306.82x = 458.09 × 260.52
  4. Step 4: Simplify right side
    306.82x = 119,339.56
  5. Step 5: Solve for x
    x = 119,339.56/306.82
  6. Step 6: Final answer
    x = 388.95

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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.