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Finding the Fourth Proportional to 169.80, 233.10 and 145.14

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Solution

The fourth proportional to 169.80, 233.10 and 145.14 is: 199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 233.10 = 145.14 : x
  2. Step 2: Convert to fraction form
    169.80/233.10 = 145.14/x
  3. Step 3: Cross multiply
    169.80x = 233.10 × 145.14
  4. Step 4: Simplify right side
    169.80x = 33,832.13
  5. Step 5: Solve for x
    x = 33,832.13/169.80
  6. Step 6: Final answer
    x = 199.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.