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Finding the Fourth Proportional to 47.40, 65.34 and 30.99

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Solution

The fourth proportional to 47.40, 65.34 and 30.99 is: 42.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.40 : 65.34 = 30.99 : x
  2. Step 2: Convert to fraction form
    47.40/65.34 = 30.99/x
  3. Step 3: Cross multiply
    47.40x = 65.34 × 30.99
  4. Step 4: Simplify right side
    47.40x = 2,025.13
  5. Step 5: Solve for x
    x = 2,025.13/47.40
  6. Step 6: Final answer
    x = 42.73

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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.