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Finding the Fourth Proportional to 47.31, 70.98 and 18.45

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Solution

The fourth proportional to 47.31, 70.98 and 18.45 is: 27.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 70.98 = 18.45 : x
  2. Step 2: Convert to fraction form
    47.31/70.98 = 18.45/x
  3. Step 3: Cross multiply
    47.31x = 70.98 × 18.45
  4. Step 4: Simplify right side
    47.31x = 1,309.58
  5. Step 5: Solve for x
    x = 1,309.58/47.31
  6. Step 6: Final answer
    x = 27.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.