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Finding the Fourth Proportional to 130.57, 180.41 and 114.17

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Solution

The fourth proportional to 130.57, 180.41 and 114.17 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 180.41 = 114.17 : x
  2. Step 2: Convert to fraction form
    130.57/180.41 = 114.17/x
  3. Step 3: Cross multiply
    130.57x = 180.41 × 114.17
  4. Step 4: Simplify right side
    130.57x = 20,597.41
  5. Step 5: Solve for x
    x = 20,597.41/130.57
  6. Step 6: Final answer
    x = 157.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.