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Finding the Fourth Proportional to 56.42, 77.30 and 55.83

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Solution

The fourth proportional to 56.42, 77.30 and 55.83 is: 76.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 77.30 = 55.83 : x
  2. Step 2: Convert to fraction form
    56.42/77.30 = 55.83/x
  3. Step 3: Cross multiply
    56.42x = 77.30 × 55.83
  4. Step 4: Simplify right side
    56.42x = 4,315.80
  5. Step 5: Solve for x
    x = 4,315.80/56.42
  6. Step 6: Final answer
    x = 76.50

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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.