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Finding the Fourth Proportional to 63.64, 87.77 and 55.00

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Solution

The fourth proportional to 63.64, 87.77 and 55.00 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.64 : 87.77 = 55.00 : x
  2. Step 2: Convert to fraction form
    63.64/87.77 = 55.00/x
  3. Step 3: Cross multiply
    63.64x = 87.77 × 55.00
  4. Step 4: Simplify right side
    63.64x = 4,826.64
  5. Step 5: Solve for x
    x = 4,826.64/63.64
  6. Step 6: Final answer
    x = 75.85

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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.