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Finding the Fourth Proportional to 89.15, 122.86 and 64.55

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Solution

The fourth proportional to 89.15, 122.86 and 64.55 is: 88.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.15 : 122.86 = 64.55 : x
  2. Step 2: Convert to fraction form
    89.15/122.86 = 64.55/x
  3. Step 3: Cross multiply
    89.15x = 122.86 × 64.55
  4. Step 4: Simplify right side
    89.15x = 7,929.84
  5. Step 5: Solve for x
    x = 7,929.84/89.15
  6. Step 6: Final answer
    x = 88.95

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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.