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Finding the Fourth Proportional to 64.86, 89.32 and 59.09

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Solution

The fourth proportional to 64.86, 89.32 and 59.09 is: 81.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 89.32 = 59.09 : x
  2. Step 2: Convert to fraction form
    64.86/89.32 = 59.09/x
  3. Step 3: Cross multiply
    64.86x = 89.32 × 59.09
  4. Step 4: Simplify right side
    64.86x = 5,277.92
  5. Step 5: Solve for x
    x = 5,277.92/64.86
  6. Step 6: Final answer
    x = 81.37

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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.