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Finding the Fourth Proportional to 65.57, 90.49 and 36.47

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Solution

The fourth proportional to 65.57, 90.49 and 36.47 is: 50.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.57 : 90.49 = 36.47 : x
  2. Step 2: Convert to fraction form
    65.57/90.49 = 36.47/x
  3. Step 3: Cross multiply
    65.57x = 90.49 × 36.47
  4. Step 4: Simplify right side
    65.57x = 3,299.81
  5. Step 5: Solve for x
    x = 3,299.81/65.57
  6. Step 6: Final answer
    x = 50.32

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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.