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Finding the Fourth Proportional to 59.82, 90.24 and 57.30

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Solution

The fourth proportional to 59.82, 90.24 and 57.30 is: 86.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 90.24 = 57.30 : x
  2. Step 2: Convert to fraction form
    59.82/90.24 = 57.30/x
  3. Step 3: Cross multiply
    59.82x = 90.24 × 57.30
  4. Step 4: Simplify right side
    59.82x = 5,170.47
  5. Step 5: Solve for x
    x = 5,170.47/59.82
  6. Step 6: Final answer
    x = 86.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.