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Finding the Fourth Proportional to 46.99, 71.05 and 46.61

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Solution

The fourth proportional to 46.99, 71.05 and 46.61 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 71.05 = 46.61 : x
  2. Step 2: Convert to fraction form
    46.99/71.05 = 46.61/x
  3. Step 3: Cross multiply
    46.99x = 71.05 × 46.61
  4. Step 4: Simplify right side
    46.99x = 3,311.64
  5. Step 5: Solve for x
    x = 3,311.64/46.99
  6. Step 6: Final answer
    x = 70.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.