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Finding the Fourth Proportional to 79.51, 119.20 and 35.59

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Solution

The fourth proportional to 79.51, 119.20 and 35.59 is: 53.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.51 : 119.20 = 35.59 : x
  2. Step 2: Convert to fraction form
    79.51/119.20 = 35.59/x
  3. Step 3: Cross multiply
    79.51x = 119.20 × 35.59
  4. Step 4: Simplify right side
    79.51x = 4,242.33
  5. Step 5: Solve for x
    x = 4,242.33/79.51
  6. Step 6: Final answer
    x = 53.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.