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Finding the Fourth Proportional to 65.74, 98.09 and 65.36

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Solution

The fourth proportional to 65.74, 98.09 and 65.36 is: 97.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.74 : 98.09 = 65.36 : x
  2. Step 2: Convert to fraction form
    65.74/98.09 = 65.36/x
  3. Step 3: Cross multiply
    65.74x = 98.09 × 65.36
  4. Step 4: Simplify right side
    65.74x = 6,410.67
  5. Step 5: Solve for x
    x = 6,410.67/65.74
  6. Step 6: Final answer
    x = 97.52

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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.