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Finding the Fourth Proportional to 356.02, 533.49 and 227.50

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Solution

The fourth proportional to 356.02, 533.49 and 227.50 is: 340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.02 : 533.49 = 227.50 : x
  2. Step 2: Convert to fraction form
    356.02/533.49 = 227.50/x
  3. Step 3: Cross multiply
    356.02x = 533.49 × 227.50
  4. Step 4: Simplify right side
    356.02x = 121,368.98
  5. Step 5: Solve for x
    x = 121,368.98/356.02
  6. Step 6: Final answer
    x = 340.90

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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.