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Finding the Fourth Proportional to 355.65, 534.14 and 212.25

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Solution

The fourth proportional to 355.65, 534.14 and 212.25 is: 318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.65 : 534.14 = 212.25 : x
  2. Step 2: Convert to fraction form
    355.65/534.14 = 212.25/x
  3. Step 3: Cross multiply
    355.65x = 534.14 × 212.25
  4. Step 4: Simplify right side
    355.65x = 113,370.15
  5. Step 5: Solve for x
    x = 113,370.15/355.65
  6. Step 6: Final answer
    x = 318.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.