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Finding the Fourth Proportional to 53.38, 80.10 and 21.32

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Solution

The fourth proportional to 53.38, 80.10 and 21.32 is: 31.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.38 : 80.10 = 21.32 : x
  2. Step 2: Convert to fraction form
    53.38/80.10 = 21.32/x
  3. Step 3: Cross multiply
    53.38x = 80.10 × 21.32
  4. Step 4: Simplify right side
    53.38x = 1,707.22
  5. Step 5: Solve for x
    x = 1,707.22/53.38
  6. Step 6: Final answer
    x = 31.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.