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Finding the Fourth Proportional to 210.89, 316.34 and 142.55

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Solution

The fourth proportional to 210.89, 316.34 and 142.55 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.89 : 316.34 = 142.55 : x
  2. Step 2: Convert to fraction form
    210.89/316.34 = 142.55/x
  3. Step 3: Cross multiply
    210.89x = 316.34 × 142.55
  4. Step 4: Simplify right side
    210.89x = 45,091.97
  5. Step 5: Solve for x
    x = 45,091.97/210.89
  6. Step 6: Final answer
    x = 213.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.