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Finding the Fourth Proportional to 463.65, 695.48 and 220.38

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Solution

The fourth proportional to 463.65, 695.48 and 220.38 is: 330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.65 : 695.48 = 220.38 : x
  2. Step 2: Convert to fraction form
    463.65/695.48 = 220.38/x
  3. Step 3: Cross multiply
    463.65x = 695.48 × 220.38
  4. Step 4: Simplify right side
    463.65x = 153,268.78
  5. Step 5: Solve for x
    x = 153,268.78/463.65
  6. Step 6: Final answer
    x = 330.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.