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Finding the Fourth Proportional to 55.77, 83.08 and 52.66

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Solution

The fourth proportional to 55.77, 83.08 and 52.66 is: 78.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.77 : 83.08 = 52.66 : x
  2. Step 2: Convert to fraction form
    55.77/83.08 = 52.66/x
  3. Step 3: Cross multiply
    55.77x = 83.08 × 52.66
  4. Step 4: Simplify right side
    55.77x = 4,374.73
  5. Step 5: Solve for x
    x = 4,374.73/55.77
  6. Step 6: Final answer
    x = 78.45

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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.