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Finding the Fourth Proportional to 356.93, 535.27 and 219.57

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Solution

The fourth proportional to 356.93, 535.27 and 219.57 is: 329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.93 : 535.27 = 219.57 : x
  2. Step 2: Convert to fraction form
    356.93/535.27 = 219.57/x
  3. Step 3: Cross multiply
    356.93x = 535.27 × 219.57
  4. Step 4: Simplify right side
    356.93x = 117,529.23
  5. Step 5: Solve for x
    x = 117,529.23/356.93
  6. Step 6: Final answer
    x = 329.28

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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.