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Finding the Fourth Proportional to 46.84, 69.89 and 43

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Solution

The fourth proportional to 46.84, 69.89 and 43 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 69.89 = 43 : x
  2. Step 2: Convert to fraction form
    46.84/69.89 = 43/x
  3. Step 3: Cross multiply
    46.84x = 69.89 × 43
  4. Step 4: Simplify right side
    46.84x = 3,005.27
  5. Step 5: Solve for x
    x = 3,005.27/46.84
  6. Step 6: Final answer
    x = 64.16

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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.