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Finding the Fourth Proportional to 478.48, 660.20 and 282.08

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Solution

The fourth proportional to 478.48, 660.20 and 282.08 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.48 : 660.20 = 282.08 : x
  2. Step 2: Convert to fraction form
    478.48/660.20 = 282.08/x
  3. Step 3: Cross multiply
    478.48x = 660.20 × 282.08
  4. Step 4: Simplify right side
    478.48x = 186,229.22
  5. Step 5: Solve for x
    x = 186,229.22/478.48
  6. Step 6: Final answer
    x = 389.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.