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Finding the Fourth Proportional to 46.91, 70.28 and 42.09

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Solution

The fourth proportional to 46.91, 70.28 and 42.09 is: 63.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.91 : 70.28 = 42.09 : x
  2. Step 2: Convert to fraction form
    46.91/70.28 = 42.09/x
  3. Step 3: Cross multiply
    46.91x = 70.28 × 42.09
  4. Step 4: Simplify right side
    46.91x = 2,957.77
  5. Step 5: Solve for x
    x = 2,957.77/46.91
  6. Step 6: Final answer
    x = 63.05

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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.