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Finding the Fourth Proportional to 162.53, 244.67 and 140.21

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Solution

The fourth proportional to 162.53, 244.67 and 140.21 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.53 : 244.67 = 140.21 : x
  2. Step 2: Convert to fraction form
    162.53/244.67 = 140.21/x
  3. Step 3: Cross multiply
    162.53x = 244.67 × 140.21
  4. Step 4: Simplify right side
    162.53x = 34,305.18
  5. Step 5: Solve for x
    x = 34,305.18/162.53
  6. Step 6: Final answer
    x = 211.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.