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Finding the Fourth Proportional to 49.41, 73.58 and 47.59

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Solution

The fourth proportional to 49.41, 73.58 and 47.59 is: 70.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.41 : 73.58 = 47.59 : x
  2. Step 2: Convert to fraction form
    49.41/73.58 = 47.59/x
  3. Step 3: Cross multiply
    49.41x = 73.58 × 47.59
  4. Step 4: Simplify right side
    49.41x = 3,501.25
  5. Step 5: Solve for x
    x = 3,501.25/49.41
  6. Step 6: Final answer
    x = 70.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.