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Finding the Fourth Proportional to 47.99, 66.23 and 30.77

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Solution

The fourth proportional to 47.99, 66.23 and 30.77 is: 42.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.99 : 66.23 = 30.77 : x
  2. Step 2: Convert to fraction form
    47.99/66.23 = 30.77/x
  3. Step 3: Cross multiply
    47.99x = 66.23 × 30.77
  4. Step 4: Simplify right side
    47.99x = 2,037.64
  5. Step 5: Solve for x
    x = 2,037.64/47.99
  6. Step 6: Final answer
    x = 42.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.