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Finding the Fourth Proportional to 478.78, 659.55 and 331.16

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Solution

The fourth proportional to 478.78, 659.55 and 331.16 is: 456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.78 : 659.55 = 331.16 : x
  2. Step 2: Convert to fraction form
    478.78/659.55 = 331.16/x
  3. Step 3: Cross multiply
    478.78x = 659.55 × 331.16
  4. Step 4: Simplify right side
    478.78x = 218,416.58
  5. Step 5: Solve for x
    x = 218,416.58/478.78
  6. Step 6: Final answer
    x = 456.19

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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.