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Finding the Fourth Proportional to 183.55, 275.35 and 61.78

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Solution

The fourth proportional to 183.55, 275.35 and 61.78 is: 92.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.55 : 275.35 = 61.78 : x
  2. Step 2: Convert to fraction form
    183.55/275.35 = 61.78/x
  3. Step 3: Cross multiply
    183.55x = 275.35 × 61.78
  4. Step 4: Simplify right side
    183.55x = 17,011.60
  5. Step 5: Solve for x
    x = 17,011.60/183.55
  6. Step 6: Final answer
    x = 92.68

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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.