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Finding the Fourth Proportional to 56.22, 77.64 and 55.80

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Solution

The fourth proportional to 56.22, 77.64 and 55.80 is: 77.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.22 : 77.64 = 55.80 : x
  2. Step 2: Convert to fraction form
    56.22/77.64 = 55.80/x
  3. Step 3: Cross multiply
    56.22x = 77.64 × 55.80
  4. Step 4: Simplify right side
    56.22x = 4,332.31
  5. Step 5: Solve for x
    x = 4,332.31/56.22
  6. Step 6: Final answer
    x = 77.06

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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.