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Finding the Fourth Proportional to 76.84, 114.36 and 73.50

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Solution

The fourth proportional to 76.84, 114.36 and 73.50 is: 109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 114.36 = 73.50 : x
  2. Step 2: Convert to fraction form
    76.84/114.36 = 73.50/x
  3. Step 3: Cross multiply
    76.84x = 114.36 × 73.50
  4. Step 4: Simplify right side
    76.84x = 8,405.46
  5. Step 5: Solve for x
    x = 8,405.46/76.84
  6. Step 6: Final answer
    x = 109.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.