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Finding the Fourth Proportional to 376.41, 565.01 and 316.20

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Solution

The fourth proportional to 376.41, 565.01 and 316.20 is: 474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.41 : 565.01 = 316.20 : x
  2. Step 2: Convert to fraction form
    376.41/565.01 = 316.20/x
  3. Step 3: Cross multiply
    376.41x = 565.01 × 316.20
  4. Step 4: Simplify right side
    376.41x = 178,654.13
  5. Step 5: Solve for x
    x = 178,654.13/376.41
  6. Step 6: Final answer
    x = 474.63

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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.