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Finding the Fourth Proportional to 47.80, 65.98 and 31.45

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Solution

The fourth proportional to 47.80, 65.98 and 31.45 is: 43.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.80 : 65.98 = 31.45 : x
  2. Step 2: Convert to fraction form
    47.80/65.98 = 31.45/x
  3. Step 3: Cross multiply
    47.80x = 65.98 × 31.45
  4. Step 4: Simplify right side
    47.80x = 2,074.58
  5. Step 5: Solve for x
    x = 2,074.58/47.80
  6. Step 6: Final answer
    x = 43.41

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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.