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Finding the Fourth Proportional to 478.11, 717.28 and 149.04

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Solution

The fourth proportional to 478.11, 717.28 and 149.04 is: 223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 717.28 = 149.04 : x
  2. Step 2: Convert to fraction form
    478.11/717.28 = 149.04/x
  3. Step 3: Cross multiply
    478.11x = 717.28 × 149.04
  4. Step 4: Simplify right side
    478.11x = 106,903.41
  5. Step 5: Solve for x
    x = 106,903.41/478.11
  6. Step 6: Final answer
    x = 223.60

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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.