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Finding the Fourth Proportional to 401.41, 601.43 and 314.38

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Solution

The fourth proportional to 401.41, 601.43 and 314.38 is: 471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 601.43 = 314.38 : x
  2. Step 2: Convert to fraction form
    401.41/601.43 = 314.38/x
  3. Step 3: Cross multiply
    401.41x = 601.43 × 314.38
  4. Step 4: Simplify right side
    401.41x = 189,076.74
  5. Step 5: Solve for x
    x = 189,076.74/401.41
  6. Step 6: Final answer
    x = 471.04

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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.