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Finding the Fourth Proportional to 35.78, 53.47 and 26.08

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Solution

The fourth proportional to 35.78, 53.47 and 26.08 is: 38.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.78 : 53.47 = 26.08 : x
  2. Step 2: Convert to fraction form
    35.78/53.47 = 26.08/x
  3. Step 3: Cross multiply
    35.78x = 53.47 × 26.08
  4. Step 4: Simplify right side
    35.78x = 1,394.30
  5. Step 5: Solve for x
    x = 1,394.30/35.78
  6. Step 6: Final answer
    x = 38.97

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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.