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Finding the Fourth Proportional to 417.05, 575.49 and 259.44

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Solution

The fourth proportional to 417.05, 575.49 and 259.44 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.05 : 575.49 = 259.44 : x
  2. Step 2: Convert to fraction form
    417.05/575.49 = 259.44/x
  3. Step 3: Cross multiply
    417.05x = 575.49 × 259.44
  4. Step 4: Simplify right side
    417.05x = 149,306.00
  5. Step 5: Solve for x
    x = 149,306.00/417.05
  6. Step 6: Final answer
    x = 358.01

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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.