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Finding the Fourth Proportional to 478.79, 660.80 and 282.42

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Solution

The fourth proportional to 478.79, 660.80 and 282.42 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.79 : 660.80 = 282.42 : x
  2. Step 2: Convert to fraction form
    478.79/660.80 = 282.42/x
  3. Step 3: Cross multiply
    478.79x = 660.80 × 282.42
  4. Step 4: Simplify right side
    478.79x = 186,623.14
  5. Step 5: Solve for x
    x = 186,623.14/478.79
  6. Step 6: Final answer
    x = 389.78

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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.