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Finding the Fourth Proportional to 88.04, 120.77 and 87.23

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Solution

The fourth proportional to 88.04, 120.77 and 87.23 is: 119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.04 : 120.77 = 87.23 : x
  2. Step 2: Convert to fraction form
    88.04/120.77 = 87.23/x
  3. Step 3: Cross multiply
    88.04x = 120.77 × 87.23
  4. Step 4: Simplify right side
    88.04x = 10,534.04
  5. Step 5: Solve for x
    x = 10,534.04/88.04
  6. Step 6: Final answer
    x = 119.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.