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Finding the Fourth Proportional to 161.50, 243.42 and 152.68

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Solution

The fourth proportional to 161.50, 243.42 and 152.68 is: 230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.50 : 243.42 = 152.68 : x
  2. Step 2: Convert to fraction form
    161.50/243.42 = 152.68/x
  3. Step 3: Cross multiply
    161.50x = 243.42 × 152.68
  4. Step 4: Simplify right side
    161.50x = 37,165.37
  5. Step 5: Solve for x
    x = 37,165.37/161.50
  6. Step 6: Final answer
    x = 230.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.