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Finding the Fourth Proportional to 48.90, 67.44 and 31.64

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Solution

The fourth proportional to 48.90, 67.44 and 31.64 is: 43.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.90 : 67.44 = 31.64 : x
  2. Step 2: Convert to fraction form
    48.90/67.44 = 31.64/x
  3. Step 3: Cross multiply
    48.90x = 67.44 × 31.64
  4. Step 4: Simplify right side
    48.90x = 2,133.80
  5. Step 5: Solve for x
    x = 2,133.80/48.90
  6. Step 6: Final answer
    x = 43.64

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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.