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Finding the Fourth Proportional to 130.08, 194.16 and 112.16

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Solution

The fourth proportional to 130.08, 194.16 and 112.16 is: 167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 194.16 = 112.16 : x
  2. Step 2: Convert to fraction form
    130.08/194.16 = 112.16/x
  3. Step 3: Cross multiply
    130.08x = 194.16 × 112.16
  4. Step 4: Simplify right side
    130.08x = 21,776.99
  5. Step 5: Solve for x
    x = 21,776.99/130.08
  6. Step 6: Final answer
    x = 167.41

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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.