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Finding the Fourth Proportional to 53.67, 74.01 and 31.84

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Solution

The fourth proportional to 53.67, 74.01 and 31.84 is: 43.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.67 : 74.01 = 31.84 : x
  2. Step 2: Convert to fraction form
    53.67/74.01 = 31.84/x
  3. Step 3: Cross multiply
    53.67x = 74.01 × 31.84
  4. Step 4: Simplify right side
    53.67x = 2,356.41
  5. Step 5: Solve for x
    x = 2,356.41/53.67
  6. Step 6: Final answer
    x = 43.90

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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.