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Finding the Fourth Proportional to 356.53, 534.21 and 219.29

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Solution

The fourth proportional to 356.53, 534.21 and 219.29 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.53 : 534.21 = 219.29 : x
  2. Step 2: Convert to fraction form
    356.53/534.21 = 219.29/x
  3. Step 3: Cross multiply
    356.53x = 534.21 × 219.29
  4. Step 4: Simplify right side
    356.53x = 117,146.91
  5. Step 5: Solve for x
    x = 117,146.91/356.53
  6. Step 6: Final answer
    x = 328.58

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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.