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Finding the Fourth Proportional to 478.60, 717.28 and 270.36

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Solution

The fourth proportional to 478.60, 717.28 and 270.36 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 717.28 = 270.36 : x
  2. Step 2: Convert to fraction form
    478.60/717.28 = 270.36/x
  3. Step 3: Cross multiply
    478.60x = 717.28 × 270.36
  4. Step 4: Simplify right side
    478.60x = 193,923.14
  5. Step 5: Solve for x
    x = 193,923.14/478.60
  6. Step 6: Final answer
    x = 405.19

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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.