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Finding the Fourth Proportional to 88.96, 122.77 and 55.79

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Solution

The fourth proportional to 88.96, 122.77 and 55.79 is: 76.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.96 : 122.77 = 55.79 : x
  2. Step 2: Convert to fraction form
    88.96/122.77 = 55.79/x
  3. Step 3: Cross multiply
    88.96x = 122.77 × 55.79
  4. Step 4: Simplify right side
    88.96x = 6,848.45
  5. Step 5: Solve for x
    x = 6,848.45/88.96
  6. Step 6: Final answer
    x = 76.98

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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.