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Finding the Fourth Proportional to 46.71, 69.78 and 45.20

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Solution

The fourth proportional to 46.71, 69.78 and 45.20 is: 67.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.71 : 69.78 = 45.20 : x
  2. Step 2: Convert to fraction form
    46.71/69.78 = 45.20/x
  3. Step 3: Cross multiply
    46.71x = 69.78 × 45.20
  4. Step 4: Simplify right side
    46.71x = 3,153.71
  5. Step 5: Solve for x
    x = 3,153.71/46.71
  6. Step 6: Final answer
    x = 67.52

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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.