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Finding the Fourth Proportional to 94.49, 141.77 and 46.36

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Solution

The fourth proportional to 94.49, 141.77 and 46.36 is: 69.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.49 : 141.77 = 46.36 : x
  2. Step 2: Convert to fraction form
    94.49/141.77 = 46.36/x
  3. Step 3: Cross multiply
    94.49x = 141.77 × 46.36
  4. Step 4: Simplify right side
    94.49x = 6,572.40
  5. Step 5: Solve for x
    x = 6,572.40/94.49
  6. Step 6: Final answer
    x = 69.56

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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.