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Finding the Fourth Proportional to 169.40, 233.90 and 130.16

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Solution

The fourth proportional to 169.40, 233.90 and 130.16 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.40 : 233.90 = 130.16 : x
  2. Step 2: Convert to fraction form
    169.40/233.90 = 130.16/x
  3. Step 3: Cross multiply
    169.40x = 233.90 × 130.16
  4. Step 4: Simplify right side
    169.40x = 30,444.42
  5. Step 5: Solve for x
    x = 30,444.42/169.40
  6. Step 6: Final answer
    x = 179.72

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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.