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Finding the Fourth Proportional to 46.89, 70.36 and 19.84

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Solution

The fourth proportional to 46.89, 70.36 and 19.84 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 70.36 = 19.84 : x
  2. Step 2: Convert to fraction form
    46.89/70.36 = 19.84/x
  3. Step 3: Cross multiply
    46.89x = 70.36 × 19.84
  4. Step 4: Simplify right side
    46.89x = 1,395.72
  5. Step 5: Solve for x
    x = 1,395.72/46.89
  6. Step 6: Final answer
    x = 29.77

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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.