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Finding the Fourth Proportional to 47.78, 72.05 and 44.00

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Solution

The fourth proportional to 47.78, 72.05 and 44.00 is: 66.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.78 : 72.05 = 44.00 : x
  2. Step 2: Convert to fraction form
    47.78/72.05 = 44.00/x
  3. Step 3: Cross multiply
    47.78x = 72.05 × 44.00
  4. Step 4: Simplify right side
    47.78x = 3,170.16
  5. Step 5: Solve for x
    x = 3,170.16/47.78
  6. Step 6: Final answer
    x = 66.35

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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.