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Finding the Fourth Proportional to 210.68, 290.57 and 140.70

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Solution

The fourth proportional to 210.68, 290.57 and 140.70 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 290.57 = 140.70 : x
  2. Step 2: Convert to fraction form
    210.68/290.57 = 140.70/x
  3. Step 3: Cross multiply
    210.68x = 290.57 × 140.70
  4. Step 4: Simplify right side
    210.68x = 40,883.55
  5. Step 5: Solve for x
    x = 40,883.55/210.68
  6. Step 6: Final answer
    x = 194.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.