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Finding the Fourth Proportional to 97.91, 146.77 and 57.37

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Solution

The fourth proportional to 97.91, 146.77 and 57.37 is: 86.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.91 : 146.77 = 57.37 : x
  2. Step 2: Convert to fraction form
    97.91/146.77 = 57.37/x
  3. Step 3: Cross multiply
    97.91x = 146.77 × 57.37
  4. Step 4: Simplify right side
    97.91x = 8,420.19
  5. Step 5: Solve for x
    x = 8,420.19/97.91
  6. Step 6: Final answer
    x = 86.00

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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.