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Finding the Fourth Proportional to 35.42, 53.39 and 33.78

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Solution

The fourth proportional to 35.42, 53.39 and 33.78 is: 50.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.42 : 53.39 = 33.78 : x
  2. Step 2: Convert to fraction form
    35.42/53.39 = 33.78/x
  3. Step 3: Cross multiply
    35.42x = 53.39 × 33.78
  4. Step 4: Simplify right side
    35.42x = 1,803.80
  5. Step 5: Solve for x
    x = 1,803.80/35.42
  6. Step 6: Final answer
    x = 50.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.