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Finding the Fourth Proportional to 169.11, 233.47 and 107.00

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Solution

The fourth proportional to 169.11, 233.47 and 107.00 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.11 : 233.47 = 107.00 : x
  2. Step 2: Convert to fraction form
    169.11/233.47 = 107.00/x
  3. Step 3: Cross multiply
    169.11x = 233.47 × 107.00
  4. Step 4: Simplify right side
    169.11x = 24,980.12
  5. Step 5: Solve for x
    x = 24,980.12/169.11
  6. Step 6: Final answer
    x = 147.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.