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Finding the Fourth Proportional to 251.64, 346.95 and 177.80

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Solution

The fourth proportional to 251.64, 346.95 and 177.80 is: 245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.64 : 346.95 = 177.80 : x
  2. Step 2: Convert to fraction form
    251.64/346.95 = 177.80/x
  3. Step 3: Cross multiply
    251.64x = 346.95 × 177.80
  4. Step 4: Simplify right side
    251.64x = 61,685.98
  5. Step 5: Solve for x
    x = 61,685.98/251.64
  6. Step 6: Final answer
    x = 245.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.