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Finding the Fourth Proportional to 314.28, 471.50 and 94.90

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Solution

The fourth proportional to 314.28, 471.50 and 94.90 is: 142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 471.50 = 94.90 : x
  2. Step 2: Convert to fraction form
    314.28/471.50 = 94.90/x
  3. Step 3: Cross multiply
    314.28x = 471.50 × 94.90
  4. Step 4: Simplify right side
    314.28x = 44,742.52
  5. Step 5: Solve for x
    x = 44,742.52/314.28
  6. Step 6: Final answer
    x = 142.37

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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.