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Finding the Fourth Proportional to 130.98, 197.18 and 117.75

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Solution

The fourth proportional to 130.98, 197.18 and 117.75 is: 177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 197.18 = 117.75 : x
  2. Step 2: Convert to fraction form
    130.98/197.18 = 117.75/x
  3. Step 3: Cross multiply
    130.98x = 197.18 × 117.75
  4. Step 4: Simplify right side
    130.98x = 23,217.36
  5. Step 5: Solve for x
    x = 23,217.36/130.98
  6. Step 6: Final answer
    x = 177.26

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