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Finding the Fourth Proportional to 56.32, 77.70 and 50.48

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Solution

The fourth proportional to 56.32, 77.70 and 50.48 is: 69.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.32 : 77.70 = 50.48 : x
  2. Step 2: Convert to fraction form
    56.32/77.70 = 50.48/x
  3. Step 3: Cross multiply
    56.32x = 77.70 × 50.48
  4. Step 4: Simplify right side
    56.32x = 3,922.30
  5. Step 5: Solve for x
    x = 3,922.30/56.32
  6. Step 6: Final answer
    x = 69.64

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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.