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Finding the Fourth Proportional to 95.26, 142.93 and 91.58

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Solution

The fourth proportional to 95.26, 142.93 and 91.58 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.26 : 142.93 = 91.58 : x
  2. Step 2: Convert to fraction form
    95.26/142.93 = 91.58/x
  3. Step 3: Cross multiply
    95.26x = 142.93 × 91.58
  4. Step 4: Simplify right side
    95.26x = 13,089.53
  5. Step 5: Solve for x
    x = 13,089.53/95.26
  6. Step 6: Final answer
    x = 137.41

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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.