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Finding the Fourth Proportional to 130.48, 194.33 and 128.92

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Solution

The fourth proportional to 130.48, 194.33 and 128.92 is: 192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 194.33 = 128.92 : x
  2. Step 2: Convert to fraction form
    130.48/194.33 = 128.92/x
  3. Step 3: Cross multiply
    130.48x = 194.33 × 128.92
  4. Step 4: Simplify right side
    130.48x = 25,053.02
  5. Step 5: Solve for x
    x = 25,053.02/130.48
  6. Step 6: Final answer
    x = 192.01

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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.