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Finding the Fourth Proportional to 88.53, 122.27 and 85.69

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Solution

The fourth proportional to 88.53, 122.27 and 85.69 is: 118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.53 : 122.27 = 85.69 : x
  2. Step 2: Convert to fraction form
    88.53/122.27 = 85.69/x
  3. Step 3: Cross multiply
    88.53x = 122.27 × 85.69
  4. Step 4: Simplify right side
    88.53x = 10,477.32
  5. Step 5: Solve for x
    x = 10,477.32/88.53
  6. Step 6: Final answer
    x = 118.35

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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.