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Finding the Fourth Proportional to 55.56, 76.32 and 49.92

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Solution

The fourth proportional to 55.56, 76.32 and 49.92 is: 68.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.56 : 76.32 = 49.92 : x
  2. Step 2: Convert to fraction form
    55.56/76.32 = 49.92/x
  3. Step 3: Cross multiply
    55.56x = 76.32 × 49.92
  4. Step 4: Simplify right side
    55.56x = 3,809.89
  5. Step 5: Solve for x
    x = 3,809.89/55.56
  6. Step 6: Final answer
    x = 68.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.