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Finding the Fourth Proportional to 35.95, 49.95 and 35.57

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Solution

The fourth proportional to 35.95, 49.95 and 35.57 is: 49.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.95 : 49.95 = 35.57 : x
  2. Step 2: Convert to fraction form
    35.95/49.95 = 35.57/x
  3. Step 3: Cross multiply
    35.95x = 49.95 × 35.57
  4. Step 4: Simplify right side
    35.95x = 1,776.54
  5. Step 5: Solve for x
    x = 1,776.54/35.95
  6. Step 6: Final answer
    x = 49.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.