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Finding the Fourth Proportional to 478.96, 661.03 and 310.86

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Solution

The fourth proportional to 478.96, 661.03 and 310.86 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 661.03 = 310.86 : x
  2. Step 2: Convert to fraction form
    478.96/661.03 = 310.86/x
  3. Step 3: Cross multiply
    478.96x = 661.03 × 310.86
  4. Step 4: Simplify right side
    478.96x = 205,487.01
  5. Step 5: Solve for x
    x = 205,487.01/478.96
  6. Step 6: Final answer
    x = 429.03

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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.