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Finding the Fourth Proportional to 162.66, 243.95 and 65.18

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Solution

The fourth proportional to 162.66, 243.95 and 65.18 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 243.95 = 65.18 : x
  2. Step 2: Convert to fraction form
    162.66/243.95 = 65.18/x
  3. Step 3: Cross multiply
    162.66x = 243.95 × 65.18
  4. Step 4: Simplify right side
    162.66x = 15,900.66
  5. Step 5: Solve for x
    x = 15,900.66/162.66
  6. Step 6: Final answer
    x = 97.75

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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.