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Finding the Fourth Proportional to 318.61, 479.89 and 296.08

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Solution

The fourth proportional to 318.61, 479.89 and 296.08 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.61 : 479.89 = 296.08 : x
  2. Step 2: Convert to fraction form
    318.61/479.89 = 296.08/x
  3. Step 3: Cross multiply
    318.61x = 479.89 × 296.08
  4. Step 4: Simplify right side
    318.61x = 142,085.83
  5. Step 5: Solve for x
    x = 142,085.83/318.61
  6. Step 6: Final answer
    x = 445.96

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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.