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Finding the Fourth Proportional to 417.86, 576.48 and 252.08

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Solution

The fourth proportional to 417.86, 576.48 and 252.08 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 576.48 = 252.08 : x
  2. Step 2: Convert to fraction form
    417.86/576.48 = 252.08/x
  3. Step 3: Cross multiply
    417.86x = 576.48 × 252.08
  4. Step 4: Simplify right side
    417.86x = 145,317.82
  5. Step 5: Solve for x
    x = 145,317.82/417.86
  6. Step 6: Final answer
    x = 347.77

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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.