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Finding the Fourth Proportional to 162.48, 242 and 161.74

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Solution

The fourth proportional to 162.48, 242 and 161.74 is: 240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.48 : 242 = 161.74 : x
  2. Step 2: Convert to fraction form
    162.48/242 = 161.74/x
  3. Step 3: Cross multiply
    162.48x = 242 × 161.74
  4. Step 4: Simplify right side
    162.48x = 39,141.08
  5. Step 5: Solve for x
    x = 39,141.08/162.48
  6. Step 6: Final answer
    x = 240.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.