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Finding the Fourth Proportional to 251.64, 347.15 and 186.23

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Solution

The fourth proportional to 251.64, 347.15 and 186.23 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.64 : 347.15 = 186.23 : x
  2. Step 2: Convert to fraction form
    251.64/347.15 = 186.23/x
  3. Step 3: Cross multiply
    251.64x = 347.15 × 186.23
  4. Step 4: Simplify right side
    251.64x = 64,651.08
  5. Step 5: Solve for x
    x = 64,651.08/251.64
  6. Step 6: Final answer
    x = 256.92

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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.