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Finding the Fourth Proportional to 55.51, 83.30 and 46.55

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Solution

The fourth proportional to 55.51, 83.30 and 46.55 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.51 : 83.30 = 46.55 : x
  2. Step 2: Convert to fraction form
    55.51/83.30 = 46.55/x
  3. Step 3: Cross multiply
    55.51x = 83.30 × 46.55
  4. Step 4: Simplify right side
    55.51x = 3,877.75
  5. Step 5: Solve for x
    x = 3,877.75/55.51
  6. Step 6: Final answer
    x = 69.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.