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Finding the Fourth Proportional to 320.91, 479.24 and 279.87

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Solution

The fourth proportional to 320.91, 479.24 and 279.87 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 479.24 = 279.87 : x
  2. Step 2: Convert to fraction form
    320.91/479.24 = 279.87/x
  3. Step 3: Cross multiply
    320.91x = 479.24 × 279.87
  4. Step 4: Simplify right side
    320.91x = 134,123.50
  5. Step 5: Solve for x
    x = 134,123.50/320.91
  6. Step 6: Final answer
    x = 417.95

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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.