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Finding the Fourth Proportional to 210.75, 315.80 and 142.02

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Solution

The fourth proportional to 210.75, 315.80 and 142.02 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.75 : 315.80 = 142.02 : x
  2. Step 2: Convert to fraction form
    210.75/315.80 = 142.02/x
  3. Step 3: Cross multiply
    210.75x = 315.80 × 142.02
  4. Step 4: Simplify right side
    210.75x = 44,849.92
  5. Step 5: Solve for x
    x = 44,849.92/210.75
  6. Step 6: Final answer
    x = 212.81

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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.