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Finding the Fourth Proportional to 55.90, 76.92 and 51.28

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Solution

The fourth proportional to 55.90, 76.92 and 51.28 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.90 : 76.92 = 51.28 : x
  2. Step 2: Convert to fraction form
    55.90/76.92 = 51.28/x
  3. Step 3: Cross multiply
    55.90x = 76.92 × 51.28
  4. Step 4: Simplify right side
    55.90x = 3,944.46
  5. Step 5: Solve for x
    x = 3,944.46/55.90
  6. Step 6: Final answer
    x = 70.56

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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.