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Finding the Fourth Proportional to 146.31, 219.26 and 91.40

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Solution

The fourth proportional to 146.31, 219.26 and 91.40 is: 136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 219.26 = 91.40 : x
  2. Step 2: Convert to fraction form
    146.31/219.26 = 91.40/x
  3. Step 3: Cross multiply
    146.31x = 219.26 × 91.40
  4. Step 4: Simplify right side
    146.31x = 20,038.81
  5. Step 5: Solve for x
    x = 20,038.81/146.31
  6. Step 6: Final answer
    x = 136.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.