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Finding the Fourth Proportional to 576.11, 795.11 and 355.13

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Solution

The fourth proportional to 576.11, 795.11 and 355.13 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.11 : 795.11 = 355.13 : x
  2. Step 2: Convert to fraction form
    576.11/795.11 = 355.13/x
  3. Step 3: Cross multiply
    576.11x = 795.11 × 355.13
  4. Step 4: Simplify right side
    576.11x = 282,364.64
  5. Step 5: Solve for x
    x = 282,364.64/576.11
  6. Step 6: Final answer
    x = 490.12

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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.