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Finding the Fourth Proportional to 305.38, 457.17 and 202.38

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Solution

The fourth proportional to 305.38, 457.17 and 202.38 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 457.17 = 202.38 : x
  2. Step 2: Convert to fraction form
    305.38/457.17 = 202.38/x
  3. Step 3: Cross multiply
    305.38x = 457.17 × 202.38
  4. Step 4: Simplify right side
    305.38x = 92,522.06
  5. Step 5: Solve for x
    x = 92,522.06/305.38
  6. Step 6: Final answer
    x = 302.97

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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.