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Finding the Fourth Proportional to 53.63, 74 and 31.80

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Solution

The fourth proportional to 53.63, 74 and 31.80 is: 43.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 74 = 31.80 : x
  2. Step 2: Convert to fraction form
    53.63/74 = 31.80/x
  3. Step 3: Cross multiply
    53.63x = 74 × 31.80
  4. Step 4: Simplify right side
    53.63x = 2,353.20
  5. Step 5: Solve for x
    x = 2,353.20/53.63
  6. Step 6: Final answer
    x = 43.88

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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.