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Finding the Fourth Proportional to 162.62, 242.50 and 161.16

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Solution

The fourth proportional to 162.62, 242.50 and 161.16 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.62 : 242.50 = 161.16 : x
  2. Step 2: Convert to fraction form
    162.62/242.50 = 161.16/x
  3. Step 3: Cross multiply
    162.62x = 242.50 × 161.16
  4. Step 4: Simplify right side
    162.62x = 39,081.30
  5. Step 5: Solve for x
    x = 39,081.30/162.62
  6. Step 6: Final answer
    x = 240.32

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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.