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Finding the Fourth Proportional to 130.01, 194.00 and 117.86

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Solution

The fourth proportional to 130.01, 194.00 and 117.86 is: 175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.01 : 194.00 = 117.86 : x
  2. Step 2: Convert to fraction form
    130.01/194.00 = 117.86/x
  3. Step 3: Cross multiply
    130.01x = 194.00 × 117.86
  4. Step 4: Simplify right side
    130.01x = 22,863.28
  5. Step 5: Solve for x
    x = 22,863.28/130.01
  6. Step 6: Final answer
    x = 175.86

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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.