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Finding the Fourth Proportional to 130.71, 180.43 and 118.19

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Solution

The fourth proportional to 130.71, 180.43 and 118.19 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.71 : 180.43 = 118.19 : x
  2. Step 2: Convert to fraction form
    130.71/180.43 = 118.19/x
  3. Step 3: Cross multiply
    130.71x = 180.43 × 118.19
  4. Step 4: Simplify right side
    130.71x = 21,325.18
  5. Step 5: Solve for x
    x = 21,325.18/130.71
  6. Step 6: Final answer
    x = 163.14

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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.