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Finding the Fourth Proportional to 417.43, 575.71 and 261.91

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Solution

The fourth proportional to 417.43, 575.71 and 261.91 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.43 : 575.71 = 261.91 : x
  2. Step 2: Convert to fraction form
    417.43/575.71 = 261.91/x
  3. Step 3: Cross multiply
    417.43x = 575.71 × 261.91
  4. Step 4: Simplify right side
    417.43x = 150,784.21
  5. Step 5: Solve for x
    x = 150,784.21/417.43
  6. Step 6: Final answer
    x = 361.22

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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.