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Finding the Fourth Proportional to 79.37, 109.50 and 57.50

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Solution

The fourth proportional to 79.37, 109.50 and 57.50 is: 79.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.37 : 109.50 = 57.50 : x
  2. Step 2: Convert to fraction form
    79.37/109.50 = 57.50/x
  3. Step 3: Cross multiply
    79.37x = 109.50 × 57.50
  4. Step 4: Simplify right side
    79.37x = 6,296.25
  5. Step 5: Solve for x
    x = 6,296.25/79.37
  6. Step 6: Final answer
    x = 79.33

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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.