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Finding the Fourth Proportional to 478.96, 661.08 and 282.49

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Solution

The fourth proportional to 478.96, 661.08 and 282.49 is: 389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 661.08 = 282.49 : x
  2. Step 2: Convert to fraction form
    478.96/661.08 = 282.49/x
  3. Step 3: Cross multiply
    478.96x = 661.08 × 282.49
  4. Step 4: Simplify right side
    478.96x = 186,748.49
  5. Step 5: Solve for x
    x = 186,748.49/478.96
  6. Step 6: Final answer
    x = 389.90

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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.