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Finding the Fourth Proportional to 307.54, 424.44 and 174.79

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Solution

The fourth proportional to 307.54, 424.44 and 174.79 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.54 : 424.44 = 174.79 : x
  2. Step 2: Convert to fraction form
    307.54/424.44 = 174.79/x
  3. Step 3: Cross multiply
    307.54x = 424.44 × 174.79
  4. Step 4: Simplify right side
    307.54x = 74,187.87
  5. Step 5: Solve for x
    x = 74,187.87/307.54
  6. Step 6: Final answer
    x = 241.23

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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.