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Finding the Fourth Proportional to 38.16, 56.98 and 36.78

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Solution

The fourth proportional to 38.16, 56.98 and 36.78 is: 54.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 56.98 = 36.78 : x
  2. Step 2: Convert to fraction form
    38.16/56.98 = 36.78/x
  3. Step 3: Cross multiply
    38.16x = 56.98 × 36.78
  4. Step 4: Simplify right side
    38.16x = 2,095.72
  5. Step 5: Solve for x
    x = 2,095.72/38.16
  6. Step 6: Final answer
    x = 54.92

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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.