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Finding the Fourth Proportional to 48.64, 67.05 and 31.14

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Solution

The fourth proportional to 48.64, 67.05 and 31.14 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.64 : 67.05 = 31.14 : x
  2. Step 2: Convert to fraction form
    48.64/67.05 = 31.14/x
  3. Step 3: Cross multiply
    48.64x = 67.05 × 31.14
  4. Step 4: Simplify right side
    48.64x = 2,087.94
  5. Step 5: Solve for x
    x = 2,087.94/48.64
  6. Step 6: Final answer
    x = 42.93

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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.