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Finding the Fourth Proportional to 61.82, 93.25 and 59.30

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Solution

The fourth proportional to 61.82, 93.25 and 59.30 is: 89.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.82 : 93.25 = 59.30 : x
  2. Step 2: Convert to fraction form
    61.82/93.25 = 59.30/x
  3. Step 3: Cross multiply
    61.82x = 93.25 × 59.30
  4. Step 4: Simplify right side
    61.82x = 5,529.73
  5. Step 5: Solve for x
    x = 5,529.73/61.82
  6. Step 6: Final answer
    x = 89.45

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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.