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Finding the Fourth Proportional to 478.15, 659.16 and 337.84

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Solution

The fourth proportional to 478.15, 659.16 and 337.84 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 659.16 = 337.84 : x
  2. Step 2: Convert to fraction form
    478.15/659.16 = 337.84/x
  3. Step 3: Cross multiply
    478.15x = 659.16 × 337.84
  4. Step 4: Simplify right side
    478.15x = 222,688.97
  5. Step 5: Solve for x
    x = 222,688.97/478.15
  6. Step 6: Final answer
    x = 465.73

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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.