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Finding the Fourth Proportional to 210.92, 315.76 and 142.28

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Solution

The fourth proportional to 210.92, 315.76 and 142.28 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.92 : 315.76 = 142.28 : x
  2. Step 2: Convert to fraction form
    210.92/315.76 = 142.28/x
  3. Step 3: Cross multiply
    210.92x = 315.76 × 142.28
  4. Step 4: Simplify right side
    210.92x = 44,926.33
  5. Step 5: Solve for x
    x = 44,926.33/210.92
  6. Step 6: Final answer
    x = 213.00

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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.