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Finding the Fourth Proportional to 335.46, 503.82 and 308.38

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Solution

The fourth proportional to 335.46, 503.82 and 308.38 is: 463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.46 : 503.82 = 308.38 : x
  2. Step 2: Convert to fraction form
    335.46/503.82 = 308.38/x
  3. Step 3: Cross multiply
    335.46x = 503.82 × 308.38
  4. Step 4: Simplify right side
    335.46x = 155,368.01
  5. Step 5: Solve for x
    x = 155,368.01/335.46
  6. Step 6: Final answer
    x = 463.15

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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.