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Finding the Fourth Proportional to 315.28, 471.29 and 272.44

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Solution

The fourth proportional to 315.28, 471.29 and 272.44 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 471.29 = 272.44 : x
  2. Step 2: Convert to fraction form
    315.28/471.29 = 272.44/x
  3. Step 3: Cross multiply
    315.28x = 471.29 × 272.44
  4. Step 4: Simplify right side
    315.28x = 128,398.25
  5. Step 5: Solve for x
    x = 128,398.25/315.28
  6. Step 6: Final answer
    x = 407.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.