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Finding the Fourth Proportional to 105.47, 157.94 and 88.31

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Solution

The fourth proportional to 105.47, 157.94 and 88.31 is: 132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 157.94 = 88.31 : x
  2. Step 2: Convert to fraction form
    105.47/157.94 = 88.31/x
  3. Step 3: Cross multiply
    105.47x = 157.94 × 88.31
  4. Step 4: Simplify right side
    105.47x = 13,947.24
  5. Step 5: Solve for x
    x = 13,947.24/105.47
  6. Step 6: Final answer
    x = 132.24

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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.