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Finding the Fourth Proportional to 294.17, 405.95 and 163.15

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Solution

The fourth proportional to 294.17, 405.95 and 163.15 is: 225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.17 : 405.95 = 163.15 : x
  2. Step 2: Convert to fraction form
    294.17/405.95 = 163.15/x
  3. Step 3: Cross multiply
    294.17x = 405.95 × 163.15
  4. Step 4: Simplify right side
    294.17x = 66,228.91
  5. Step 5: Solve for x
    x = 66,228.91/294.17
  6. Step 6: Final answer
    x = 225.14

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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.