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Finding the Fourth Proportional to 65.68, 99.22 and 65.08

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Solution

The fourth proportional to 65.68, 99.22 and 65.08 is: 98.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 99.22 = 65.08 : x
  2. Step 2: Convert to fraction form
    65.68/99.22 = 65.08/x
  3. Step 3: Cross multiply
    65.68x = 99.22 × 65.08
  4. Step 4: Simplify right side
    65.68x = 6,457.24
  5. Step 5: Solve for x
    x = 6,457.24/65.68
  6. Step 6: Final answer
    x = 98.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.