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Finding the Fourth Proportional to 24.46, 36.53 and 18.40

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Solution

The fourth proportional to 24.46, 36.53 and 18.40 is: 27.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.46 : 36.53 = 18.40 : x
  2. Step 2: Convert to fraction form
    24.46/36.53 = 18.40/x
  3. Step 3: Cross multiply
    24.46x = 36.53 × 18.40
  4. Step 4: Simplify right side
    24.46x = 672.15
  5. Step 5: Solve for x
    x = 672.15/24.46
  6. Step 6: Final answer
    x = 27.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.