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Finding the Fourth Proportional to 162.61, 223.76 and 137.50

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Solution

The fourth proportional to 162.61, 223.76 and 137.50 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 223.76 = 137.50 : x
  2. Step 2: Convert to fraction form
    162.61/223.76 = 137.50/x
  3. Step 3: Cross multiply
    162.61x = 223.76 × 137.50
  4. Step 4: Simplify right side
    162.61x = 30,766.78
  5. Step 5: Solve for x
    x = 30,766.78/162.61
  6. Step 6: Final answer
    x = 189.21

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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.