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Finding the Fourth Proportional to 55.90, 83.27 and 52.79

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Solution

The fourth proportional to 55.90, 83.27 and 52.79 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.90 : 83.27 = 52.79 : x
  2. Step 2: Convert to fraction form
    55.90/83.27 = 52.79/x
  3. Step 3: Cross multiply
    55.90x = 83.27 × 52.79
  4. Step 4: Simplify right side
    55.90x = 4,395.77
  5. Step 5: Solve for x
    x = 4,395.77/55.90
  6. Step 6: Final answer
    x = 78.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.