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Finding the Fourth Proportional to 30.99, 46.49 and 10.70

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Solution

The fourth proportional to 30.99, 46.49 and 10.70 is: 16.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.99 : 46.49 = 10.70 : x
  2. Step 2: Convert to fraction form
    30.99/46.49 = 10.70/x
  3. Step 3: Cross multiply
    30.99x = 46.49 × 10.70
  4. Step 4: Simplify right side
    30.99x = 497.68
  5. Step 5: Solve for x
    x = 497.68/30.99
  6. Step 6: Final answer
    x = 16.06

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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.