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Finding the Fourth Proportional to 356.58, 535.34 and 227.19

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Solution

The fourth proportional to 356.58, 535.34 and 227.19 is: 341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 535.34 = 227.19 : x
  2. Step 2: Convert to fraction form
    356.58/535.34 = 227.19/x
  3. Step 3: Cross multiply
    356.58x = 535.34 × 227.19
  4. Step 4: Simplify right side
    356.58x = 121,622.76
  5. Step 5: Solve for x
    x = 121,622.76/356.58
  6. Step 6: Final answer
    x = 341.08

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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.