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Finding the Fourth Proportional to 69.78, 95.07 and 68.30

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Solution

The fourth proportional to 69.78, 95.07 and 68.30 is: 93.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 95.07 = 68.30 : x
  2. Step 2: Convert to fraction form
    69.78/95.07 = 68.30/x
  3. Step 3: Cross multiply
    69.78x = 95.07 × 68.30
  4. Step 4: Simplify right side
    69.78x = 6,492.81
  5. Step 5: Solve for x
    x = 6,492.81/69.78
  6. Step 6: Final answer
    x = 93.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.