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Finding the Fourth Proportional to 35.29, 48.70 and 19.75

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Solution

The fourth proportional to 35.29, 48.70 and 19.75 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.29 : 48.70 = 19.75 : x
  2. Step 2: Convert to fraction form
    35.29/48.70 = 19.75/x
  3. Step 3: Cross multiply
    35.29x = 48.70 × 19.75
  4. Step 4: Simplify right side
    35.29x = 961.79
  5. Step 5: Solve for x
    x = 961.79/35.29
  6. Step 6: Final answer
    x = 27.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.