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Finding the Fourth Proportional to 162.57, 224.14 and 140.50

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Solution

The fourth proportional to 162.57, 224.14 and 140.50 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.57 : 224.14 = 140.50 : x
  2. Step 2: Convert to fraction form
    162.57/224.14 = 140.50/x
  3. Step 3: Cross multiply
    162.57x = 224.14 × 140.50
  4. Step 4: Simplify right side
    162.57x = 31,491.67
  5. Step 5: Solve for x
    x = 31,491.67/162.57
  6. Step 6: Final answer
    x = 193.71

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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.