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Finding the Fourth Proportional to 71.79, 98.36 and 71.03

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Solution

The fourth proportional to 71.79, 98.36 and 71.03 is: 97.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.79 : 98.36 = 71.03 : x
  2. Step 2: Convert to fraction form
    71.79/98.36 = 71.03/x
  3. Step 3: Cross multiply
    71.79x = 98.36 × 71.03
  4. Step 4: Simplify right side
    71.79x = 6,985.66
  5. Step 5: Solve for x
    x = 6,985.66/71.79
  6. Step 6: Final answer
    x = 97.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.