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Finding the Fourth Proportional to 36.64, 50.59 and 30.87

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Solution

The fourth proportional to 36.64, 50.59 and 30.87 is: 42.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.64 : 50.59 = 30.87 : x
  2. Step 2: Convert to fraction form
    36.64/50.59 = 30.87/x
  3. Step 3: Cross multiply
    36.64x = 50.59 × 30.87
  4. Step 4: Simplify right side
    36.64x = 1,561.71
  5. Step 5: Solve for x
    x = 1,561.71/36.64
  6. Step 6: Final answer
    x = 42.62

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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.