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Finding the Fourth Proportional to 210.23, 289.91 and 140.29

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Solution

The fourth proportional to 210.23, 289.91 and 140.29 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.23 : 289.91 = 140.29 : x
  2. Step 2: Convert to fraction form
    210.23/289.91 = 140.29/x
  3. Step 3: Cross multiply
    210.23x = 289.91 × 140.29
  4. Step 4: Simplify right side
    210.23x = 40,672.72
  5. Step 5: Solve for x
    x = 40,672.72/210.23
  6. Step 6: Final answer
    x = 193.47

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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.