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Finding the Fourth Proportional to 94.51, 142.51 and 93.22

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Solution

The fourth proportional to 94.51, 142.51 and 93.22 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.51 : 142.51 = 93.22 : x
  2. Step 2: Convert to fraction form
    94.51/142.51 = 93.22/x
  3. Step 3: Cross multiply
    94.51x = 142.51 × 93.22
  4. Step 4: Simplify right side
    94.51x = 13,284.78
  5. Step 5: Solve for x
    x = 13,284.78/94.51
  6. Step 6: Final answer
    x = 140.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.