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Finding the Fourth Proportional to 417.37, 575.79 and 251.49

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Solution

The fourth proportional to 417.37, 575.79 and 251.49 is: 346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.37 : 575.79 = 251.49 : x
  2. Step 2: Convert to fraction form
    417.37/575.79 = 251.49/x
  3. Step 3: Cross multiply
    417.37x = 575.79 × 251.49
  4. Step 4: Simplify right side
    417.37x = 144,807.06
  5. Step 5: Solve for x
    x = 144,807.06/417.37
  6. Step 6: Final answer
    x = 346.95

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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.