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Finding the Fourth Proportional to 251.10, 345.93 and 177.27

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Solution

The fourth proportional to 251.10, 345.93 and 177.27 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.10 : 345.93 = 177.27 : x
  2. Step 2: Convert to fraction form
    251.10/345.93 = 177.27/x
  3. Step 3: Cross multiply
    251.10x = 345.93 × 177.27
  4. Step 4: Simplify right side
    251.10x = 61,323.01
  5. Step 5: Solve for x
    x = 61,323.01/251.10
  6. Step 6: Final answer
    x = 244.22

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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.