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Finding the Fourth Proportional to 31.47, 46.82 and 31.35

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Solution

The fourth proportional to 31.47, 46.82 and 31.35 is: 46.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.47 : 46.82 = 31.35 : x
  2. Step 2: Convert to fraction form
    31.47/46.82 = 31.35/x
  3. Step 3: Cross multiply
    31.47x = 46.82 × 31.35
  4. Step 4: Simplify right side
    31.47x = 1,467.65
  5. Step 5: Solve for x
    x = 1,467.65/31.47
  6. Step 6: Final answer
    x = 46.64

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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.