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Finding the Fourth Proportional to 40.16, 55.44 and 35.52

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Solution

The fourth proportional to 40.16, 55.44 and 35.52 is: 49.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.16 : 55.44 = 35.52 : x
  2. Step 2: Convert to fraction form
    40.16/55.44 = 35.52/x
  3. Step 3: Cross multiply
    40.16x = 55.44 × 35.52
  4. Step 4: Simplify right side
    40.16x = 1,969.23
  5. Step 5: Solve for x
    x = 1,969.23/40.16
  6. Step 6: Final answer
    x = 49.03

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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.