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Finding the Fourth Proportional to 88.82, 122.57 and 53.83

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Solution

The fourth proportional to 88.82, 122.57 and 53.83 is: 74.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.82 : 122.57 = 53.83 : x
  2. Step 2: Convert to fraction form
    88.82/122.57 = 53.83/x
  3. Step 3: Cross multiply
    88.82x = 122.57 × 53.83
  4. Step 4: Simplify right side
    88.82x = 6,597.74
  5. Step 5: Solve for x
    x = 6,597.74/88.82
  6. Step 6: Final answer
    x = 74.28

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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.