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Finding the Fourth Proportional to 356.85, 534.47 and 212.27

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Solution

The fourth proportional to 356.85, 534.47 and 212.27 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.85 : 534.47 = 212.27 : x
  2. Step 2: Convert to fraction form
    356.85/534.47 = 212.27/x
  3. Step 3: Cross multiply
    356.85x = 534.47 × 212.27
  4. Step 4: Simplify right side
    356.85x = 113,448.21
  5. Step 5: Solve for x
    x = 113,448.21/356.85
  6. Step 6: Final answer
    x = 317.92

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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.