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Finding the Fourth Proportional to 46.66, 69.91 and 31.46

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Solution

The fourth proportional to 46.66, 69.91 and 31.46 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.66 : 69.91 = 31.46 : x
  2. Step 2: Convert to fraction form
    46.66/69.91 = 31.46/x
  3. Step 3: Cross multiply
    46.66x = 69.91 × 31.46
  4. Step 4: Simplify right side
    46.66x = 2,199.21
  5. Step 5: Solve for x
    x = 2,199.21/46.66
  6. Step 6: Final answer
    x = 47.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.