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Finding the Fourth Proportional to 162.44, 243.68 and 64.90

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Solution

The fourth proportional to 162.44, 243.68 and 64.90 is: 97.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 243.68 = 64.90 : x
  2. Step 2: Convert to fraction form
    162.44/243.68 = 64.90/x
  3. Step 3: Cross multiply
    162.44x = 243.68 × 64.90
  4. Step 4: Simplify right side
    162.44x = 15,814.83
  5. Step 5: Solve for x
    x = 15,814.83/162.44
  6. Step 6: Final answer
    x = 97.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.