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Finding the Fourth Proportional to 168.98, 253.65 and 121.10

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Solution

The fourth proportional to 168.98, 253.65 and 121.10 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.98 : 253.65 = 121.10 : x
  2. Step 2: Convert to fraction form
    168.98/253.65 = 121.10/x
  3. Step 3: Cross multiply
    168.98x = 253.65 × 121.10
  4. Step 4: Simplify right side
    168.98x = 30,715.14
  5. Step 5: Solve for x
    x = 30,715.14/168.98
  6. Step 6: Final answer
    x = 181.77

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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.