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Finding the Fourth Proportional to 35.25, 48.45 and 31.11

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Solution

The fourth proportional to 35.25, 48.45 and 31.11 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.25 : 48.45 = 31.11 : x
  2. Step 2: Convert to fraction form
    35.25/48.45 = 31.11/x
  3. Step 3: Cross multiply
    35.25x = 48.45 × 31.11
  4. Step 4: Simplify right side
    35.25x = 1,507.28
  5. Step 5: Solve for x
    x = 1,507.28/35.25
  6. Step 6: Final answer
    x = 42.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.