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Finding the Fourth Proportional to 59.25, 82.15 and 57.35

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Solution

The fourth proportional to 59.25, 82.15 and 57.35 is: 79.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.25 : 82.15 = 57.35 : x
  2. Step 2: Convert to fraction form
    59.25/82.15 = 57.35/x
  3. Step 3: Cross multiply
    59.25x = 82.15 × 57.35
  4. Step 4: Simplify right side
    59.25x = 4,711.58
  5. Step 5: Solve for x
    x = 4,711.58/59.25
  6. Step 6: Final answer
    x = 79.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.