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Finding the Fourth Proportional to 47.41, 70.81 and 41.01

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Solution

The fourth proportional to 47.41, 70.81 and 41.01 is: 61.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.41 : 70.81 = 41.01 : x
  2. Step 2: Convert to fraction form
    47.41/70.81 = 41.01/x
  3. Step 3: Cross multiply
    47.41x = 70.81 × 41.01
  4. Step 4: Simplify right side
    47.41x = 2,903.92
  5. Step 5: Solve for x
    x = 2,903.92/47.41
  6. Step 6: Final answer
    x = 61.25

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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.