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Finding the Fourth Proportional to 71.00, 98.09 and 70.46

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Solution

The fourth proportional to 71.00, 98.09 and 70.46 is: 97.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.00 : 98.09 = 70.46 : x
  2. Step 2: Convert to fraction form
    71.00/98.09 = 70.46/x
  3. Step 3: Cross multiply
    71.00x = 98.09 × 70.46
  4. Step 4: Simplify right side
    71.00x = 6,910.58
  5. Step 5: Solve for x
    x = 6,910.58/71.00
  6. Step 6: Final answer
    x = 97.34

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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.