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Finding the Fourth Proportional to 35.52, 53.08 and 33.56

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Solution

The fourth proportional to 35.52, 53.08 and 33.56 is: 50.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.52 : 53.08 = 33.56 : x
  2. Step 2: Convert to fraction form
    35.52/53.08 = 33.56/x
  3. Step 3: Cross multiply
    35.52x = 53.08 × 33.56
  4. Step 4: Simplify right side
    35.52x = 1,781.36
  5. Step 5: Solve for x
    x = 1,781.36/35.52
  6. Step 6: Final answer
    x = 50.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.