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Finding the Fourth Proportional to 337.28, 465 and 219.05

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Solution

The fourth proportional to 337.28, 465 and 219.05 is: 302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.28 : 465 = 219.05 : x
  2. Step 2: Convert to fraction form
    337.28/465 = 219.05/x
  3. Step 3: Cross multiply
    337.28x = 465 × 219.05
  4. Step 4: Simplify right side
    337.28x = 101,855.93
  5. Step 5: Solve for x
    x = 101,855.93/337.28
  6. Step 6: Final answer
    x = 302.00

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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.