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Finding the Fourth Proportional to 74.25, 102.33 and 65.43

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Solution

The fourth proportional to 74.25, 102.33 and 65.43 is: 90.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 102.33 = 65.43 : x
  2. Step 2: Convert to fraction form
    74.25/102.33 = 65.43/x
  3. Step 3: Cross multiply
    74.25x = 102.33 × 65.43
  4. Step 4: Simplify right side
    74.25x = 6,695.45
  5. Step 5: Solve for x
    x = 6,695.45/74.25
  6. Step 6: Final answer
    x = 90.17

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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.