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Finding the Fourth Proportional to 478.14, 659.10 and 337.80

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Solution

The fourth proportional to 478.14, 659.10 and 337.80 is: 465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.14 : 659.10 = 337.80 : x
  2. Step 2: Convert to fraction form
    478.14/659.10 = 337.80/x
  3. Step 3: Cross multiply
    478.14x = 659.10 × 337.80
  4. Step 4: Simplify right side
    478.14x = 222,643.98
  5. Step 5: Solve for x
    x = 222,643.98/478.14
  6. Step 6: Final answer
    x = 465.65

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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.