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Finding the Fourth Proportional to 47.78, 65.93 and 27.05

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Solution

The fourth proportional to 47.78, 65.93 and 27.05 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.78 : 65.93 = 27.05 : x
  2. Step 2: Convert to fraction form
    47.78/65.93 = 27.05/x
  3. Step 3: Cross multiply
    47.78x = 65.93 × 27.05
  4. Step 4: Simplify right side
    47.78x = 1,783.46
  5. Step 5: Solve for x
    x = 1,783.46/47.78
  6. Step 6: Final answer
    x = 37.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.