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Finding the Fourth Proportional to 47.15, 70.42 and 42.83

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Solution

The fourth proportional to 47.15, 70.42 and 42.83 is: 63.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.15 : 70.42 = 42.83 : x
  2. Step 2: Convert to fraction form
    47.15/70.42 = 42.83/x
  3. Step 3: Cross multiply
    47.15x = 70.42 × 42.83
  4. Step 4: Simplify right side
    47.15x = 3,015.63
  5. Step 5: Solve for x
    x = 3,015.63/47.15
  6. Step 6: Final answer
    x = 63.96

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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.