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Finding the Fourth Proportional to 47, 70.78 and 42.22

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Solution

The fourth proportional to 47, 70.78 and 42.22 is: 63.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 70.78 = 42.22 : x
  2. Step 2: Convert to fraction form
    47/70.78 = 42.22/x
  3. Step 3: Cross multiply
    47x = 70.78 × 42.22
  4. Step 4: Simplify right side
    47x = 2,988.33
  5. Step 5: Solve for x
    x = 2,988.33/47
  6. Step 6: Final answer
    x = 63.58

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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.