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Finding the Fourth Proportional to 478.23, 717.37 and 204.04

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Solution

The fourth proportional to 478.23, 717.37 and 204.04 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 717.37 = 204.04 : x
  2. Step 2: Convert to fraction form
    478.23/717.37 = 204.04/x
  3. Step 3: Cross multiply
    478.23x = 717.37 × 204.04
  4. Step 4: Simplify right side
    478.23x = 146,372.17
  5. Step 5: Solve for x
    x = 146,372.17/478.23
  6. Step 6: Final answer
    x = 306.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.