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Finding the Fourth Proportional to 65.08, 98.21 and 64.45

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Solution

The fourth proportional to 65.08, 98.21 and 64.45 is: 97.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.08 : 98.21 = 64.45 : x
  2. Step 2: Convert to fraction form
    65.08/98.21 = 64.45/x
  3. Step 3: Cross multiply
    65.08x = 98.21 × 64.45
  4. Step 4: Simplify right side
    65.08x = 6,329.63
  5. Step 5: Solve for x
    x = 6,329.63/65.08
  6. Step 6: Final answer
    x = 97.26

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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.