Home / 31.10-46.39-30.14

Finding the Fourth Proportional to 31.10, 46.39 and 30.14

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Solution

The fourth proportional to 31.10, 46.39 and 30.14 is: 44.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.10 : 46.39 = 30.14 : x
  2. Step 2: Convert to fraction form
    31.10/46.39 = 30.14/x
  3. Step 3: Cross multiply
    31.10x = 46.39 × 30.14
  4. Step 4: Simplify right side
    31.10x = 1,398.19
  5. Step 5: Solve for x
    x = 1,398.19/31.10
  6. Step 6: Final answer
    x = 44.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.