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Finding the Fourth Proportional to 74.16, 102.20 and 65.04

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Solution

The fourth proportional to 74.16, 102.20 and 65.04 is: 89.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 102.20 = 65.04 : x
  2. Step 2: Convert to fraction form
    74.16/102.20 = 65.04/x
  3. Step 3: Cross multiply
    74.16x = 102.20 × 65.04
  4. Step 4: Simplify right side
    74.16x = 6,647.09
  5. Step 5: Solve for x
    x = 6,647.09/74.16
  6. Step 6: Final answer
    x = 89.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.