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Finding the Fourth Proportional to 31.15, 46.36 and 31.05

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Solution

The fourth proportional to 31.15, 46.36 and 31.05 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.15 : 46.36 = 31.05 : x
  2. Step 2: Convert to fraction form
    31.15/46.36 = 31.05/x
  3. Step 3: Cross multiply
    31.15x = 46.36 × 31.05
  4. Step 4: Simplify right side
    31.15x = 1,439.48
  5. Step 5: Solve for x
    x = 1,439.48/31.15
  6. Step 6: Final answer
    x = 46.21

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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.