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Finding the Fourth Proportional to 53.12, 73.28 and 31.27

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Solution

The fourth proportional to 53.12, 73.28 and 31.27 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.12 : 73.28 = 31.27 : x
  2. Step 2: Convert to fraction form
    53.12/73.28 = 31.27/x
  3. Step 3: Cross multiply
    53.12x = 73.28 × 31.27
  4. Step 4: Simplify right side
    53.12x = 2,291.47
  5. Step 5: Solve for x
    x = 2,291.47/53.12
  6. Step 6: Final answer
    x = 43.14

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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.