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Finding the Fourth Proportional to 56.42, 77.83 and 38.01

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Solution

The fourth proportional to 56.42, 77.83 and 38.01 is: 52.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 77.83 = 38.01 : x
  2. Step 2: Convert to fraction form
    56.42/77.83 = 38.01/x
  3. Step 3: Cross multiply
    56.42x = 77.83 × 38.01
  4. Step 4: Simplify right side
    56.42x = 2,958.32
  5. Step 5: Solve for x
    x = 2,958.32/56.42
  6. Step 6: Final answer
    x = 52.43

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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.