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Finding the Fourth Proportional to 417.15, 575.91 and 371.01

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Solution

The fourth proportional to 417.15, 575.91 and 371.01 is: 512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.15 : 575.91 = 371.01 : x
  2. Step 2: Convert to fraction form
    417.15/575.91 = 371.01/x
  3. Step 3: Cross multiply
    417.15x = 575.91 × 371.01
  4. Step 4: Simplify right side
    417.15x = 213,668.37
  5. Step 5: Solve for x
    x = 213,668.37/417.15
  6. Step 6: Final answer
    x = 512.21

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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.