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Finding the Fourth Proportional to 65.54, 90.43 and 36.42

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Solution

The fourth proportional to 65.54, 90.43 and 36.42 is: 50.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 90.43 = 36.42 : x
  2. Step 2: Convert to fraction form
    65.54/90.43 = 36.42/x
  3. Step 3: Cross multiply
    65.54x = 90.43 × 36.42
  4. Step 4: Simplify right side
    65.54x = 3,293.46
  5. Step 5: Solve for x
    x = 3,293.46/65.54
  6. Step 6: Final answer
    x = 50.25

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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.