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Finding the Fourth Proportional to 130.04, 194.08 and 112.04

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Solution

The fourth proportional to 130.04, 194.08 and 112.04 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.04 : 194.08 = 112.04 : x
  2. Step 2: Convert to fraction form
    130.04/194.08 = 112.04/x
  3. Step 3: Cross multiply
    130.04x = 194.08 × 112.04
  4. Step 4: Simplify right side
    130.04x = 21,744.72
  5. Step 5: Solve for x
    x = 21,744.72/130.04
  6. Step 6: Final answer
    x = 167.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.