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Finding the Fourth Proportional to 337.27, 465.62 and 219.34

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Solution

The fourth proportional to 337.27, 465.62 and 219.34 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.27 : 465.62 = 219.34 : x
  2. Step 2: Convert to fraction form
    337.27/465.62 = 219.34/x
  3. Step 3: Cross multiply
    337.27x = 465.62 × 219.34
  4. Step 4: Simplify right side
    337.27x = 102,130.50
  5. Step 5: Solve for x
    x = 102,130.50/337.27
  6. Step 6: Final answer
    x = 302.82

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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.