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Finding the Fourth Proportional to 70.99, 98.35 and 69.31

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Solution

The fourth proportional to 70.99, 98.35 and 69.31 is: 96.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.99 : 98.35 = 69.31 : x
  2. Step 2: Convert to fraction form
    70.99/98.35 = 69.31/x
  3. Step 3: Cross multiply
    70.99x = 98.35 × 69.31
  4. Step 4: Simplify right side
    70.99x = 6,816.64
  5. Step 5: Solve for x
    x = 6,816.64/70.99
  6. Step 6: Final answer
    x = 96.02

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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.