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Finding the Fourth Proportional to 130.18, 179.77 and 123.36

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Solution

The fourth proportional to 130.18, 179.77 and 123.36 is: 170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.18 : 179.77 = 123.36 : x
  2. Step 2: Convert to fraction form
    130.18/179.77 = 123.36/x
  3. Step 3: Cross multiply
    130.18x = 179.77 × 123.36
  4. Step 4: Simplify right side
    130.18x = 22,176.43
  5. Step 5: Solve for x
    x = 22,176.43/130.18
  6. Step 6: Final answer
    x = 170.35

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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.