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Finding the Fourth Proportional to 337.15, 465.51 and 219.30

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Solution

The fourth proportional to 337.15, 465.51 and 219.30 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.15 : 465.51 = 219.30 : x
  2. Step 2: Convert to fraction form
    337.15/465.51 = 219.30/x
  3. Step 3: Cross multiply
    337.15x = 465.51 × 219.30
  4. Step 4: Simplify right side
    337.15x = 102,086.34
  5. Step 5: Solve for x
    x = 102,086.34/337.15
  6. Step 6: Final answer
    x = 302.79

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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.