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Finding the Fourth Proportional to 76.37, 106.00 and 73.40

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Solution

The fourth proportional to 76.37, 106.00 and 73.40 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 106.00 = 73.40 : x
  2. Step 2: Convert to fraction form
    76.37/106.00 = 73.40/x
  3. Step 3: Cross multiply
    76.37x = 106.00 × 73.40
  4. Step 4: Simplify right side
    76.37x = 7,779.69
  5. Step 5: Solve for x
    x = 7,779.69/76.37
  6. Step 6: Final answer
    x = 101.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.