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Finding the Fourth Proportional to 130.40, 196.51 and 117.58

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Solution

The fourth proportional to 130.40, 196.51 and 117.58 is: 177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 196.51 = 117.58 : x
  2. Step 2: Convert to fraction form
    130.40/196.51 = 117.58/x
  3. Step 3: Cross multiply
    130.40x = 196.51 × 117.58
  4. Step 4: Simplify right side
    130.40x = 23,105.65
  5. Step 5: Solve for x
    x = 23,105.65/130.40
  6. Step 6: Final answer
    x = 177.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.