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Finding the Fourth Proportional to 49.40, 68.15 and 31.01

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Solution

The fourth proportional to 49.40, 68.15 and 31.01 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 68.15 = 31.01 : x
  2. Step 2: Convert to fraction form
    49.40/68.15 = 31.01/x
  3. Step 3: Cross multiply
    49.40x = 68.15 × 31.01
  4. Step 4: Simplify right side
    49.40x = 2,112.84
  5. Step 5: Solve for x
    x = 2,112.84/49.40
  6. Step 6: Final answer
    x = 42.77

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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.