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Finding the Fourth Proportional to 76.99, 106.26 and 57.31

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Solution

The fourth proportional to 76.99, 106.26 and 57.31 is: 79.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.99 : 106.26 = 57.31 : x
  2. Step 2: Convert to fraction form
    76.99/106.26 = 57.31/x
  3. Step 3: Cross multiply
    76.99x = 106.26 × 57.31
  4. Step 4: Simplify right side
    76.99x = 6,089.76
  5. Step 5: Solve for x
    x = 6,089.76/76.99
  6. Step 6: Final answer
    x = 79.10

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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.