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Finding the Fourth Proportional to 315.49, 473.39 and 142.28

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Solution

The fourth proportional to 315.49, 473.39 and 142.28 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.49 : 473.39 = 142.28 : x
  2. Step 2: Convert to fraction form
    315.49/473.39 = 142.28/x
  3. Step 3: Cross multiply
    315.49x = 473.39 × 142.28
  4. Step 4: Simplify right side
    315.49x = 67,353.93
  5. Step 5: Solve for x
    x = 67,353.93/315.49
  6. Step 6: Final answer
    x = 213.49

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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.