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Finding the Fourth Proportional to 478.55, 660.49 and 282.05

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Solution

The fourth proportional to 478.55, 660.49 and 282.05 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.55 : 660.49 = 282.05 : x
  2. Step 2: Convert to fraction form
    478.55/660.49 = 282.05/x
  3. Step 3: Cross multiply
    478.55x = 660.49 × 282.05
  4. Step 4: Simplify right side
    478.55x = 186,289.79
  5. Step 5: Solve for x
    x = 186,289.79/478.55
  6. Step 6: Final answer
    x = 389.28

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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.