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Finding the Fourth Proportional to 76.30, 105.23 and 55.64

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Solution

The fourth proportional to 76.30, 105.23 and 55.64 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.30 : 105.23 = 55.64 : x
  2. Step 2: Convert to fraction form
    76.30/105.23 = 55.64/x
  3. Step 3: Cross multiply
    76.30x = 105.23 × 55.64
  4. Step 4: Simplify right side
    76.30x = 5,855.40
  5. Step 5: Solve for x
    x = 5,855.40/76.30
  6. Step 6: Final answer
    x = 76.74

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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.