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Finding the Fourth Proportional to 320.92, 478.91 and 269.08

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Solution

The fourth proportional to 320.92, 478.91 and 269.08 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.92 : 478.91 = 269.08 : x
  2. Step 2: Convert to fraction form
    320.92/478.91 = 269.08/x
  3. Step 3: Cross multiply
    320.92x = 478.91 × 269.08
  4. Step 4: Simplify right side
    320.92x = 128,865.10
  5. Step 5: Solve for x
    x = 128,865.10/320.92
  6. Step 6: Final answer
    x = 401.55

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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.