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Finding the Fourth Proportional to 463.14, 638.19 and 369.90

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Solution

The fourth proportional to 463.14, 638.19 and 369.90 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 638.19 = 369.90 : x
  2. Step 2: Convert to fraction form
    463.14/638.19 = 369.90/x
  3. Step 3: Cross multiply
    463.14x = 638.19 × 369.90
  4. Step 4: Simplify right side
    463.14x = 236,066.48
  5. Step 5: Solve for x
    x = 236,066.48/463.14
  6. Step 6: Final answer
    x = 509.71

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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.