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Finding the Fourth Proportional to 251.68, 377.80 and 183.60

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Solution

The fourth proportional to 251.68, 377.80 and 183.60 is: 275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.68 : 377.80 = 183.60 : x
  2. Step 2: Convert to fraction form
    251.68/377.80 = 183.60/x
  3. Step 3: Cross multiply
    251.68x = 377.80 × 183.60
  4. Step 4: Simplify right side
    251.68x = 69,364.08
  5. Step 5: Solve for x
    x = 69,364.08/251.68
  6. Step 6: Final answer
    x = 275.60

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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.