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Finding the Fourth Proportional to 130.91, 180.75 and 84.31

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Solution

The fourth proportional to 130.91, 180.75 and 84.31 is: 116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.91 : 180.75 = 84.31 : x
  2. Step 2: Convert to fraction form
    130.91/180.75 = 84.31/x
  3. Step 3: Cross multiply
    130.91x = 180.75 × 84.31
  4. Step 4: Simplify right side
    130.91x = 15,238.13
  5. Step 5: Solve for x
    x = 15,238.13/130.91
  6. Step 6: Final answer
    x = 116.40

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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.