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Finding the Fourth Proportional to 65.02, 97.52 and 21.69

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Solution

The fourth proportional to 65.02, 97.52 and 21.69 is: 32.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 97.52 = 21.69 : x
  2. Step 2: Convert to fraction form
    65.02/97.52 = 21.69/x
  3. Step 3: Cross multiply
    65.02x = 97.52 × 21.69
  4. Step 4: Simplify right side
    65.02x = 2,115.21
  5. Step 5: Solve for x
    x = 2,115.21/65.02
  6. Step 6: Final answer
    x = 32.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.