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Finding the Fourth Proportional to 35.78, 53.25 and 35.50

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Solution

The fourth proportional to 35.78, 53.25 and 35.50 is: 52.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.78 : 53.25 = 35.50 : x
  2. Step 2: Convert to fraction form
    35.78/53.25 = 35.50/x
  3. Step 3: Cross multiply
    35.78x = 53.25 × 35.50
  4. Step 4: Simplify right side
    35.78x = 1,890.38
  5. Step 5: Solve for x
    x = 1,890.38/35.78
  6. Step 6: Final answer
    x = 52.83

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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.