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Finding the Fourth Proportional to 356.15, 533.74 and 269.41

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Solution

The fourth proportional to 356.15, 533.74 and 269.41 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.15 : 533.74 = 269.41 : x
  2. Step 2: Convert to fraction form
    356.15/533.74 = 269.41/x
  3. Step 3: Cross multiply
    356.15x = 533.74 × 269.41
  4. Step 4: Simplify right side
    356.15x = 143,793.55
  5. Step 5: Solve for x
    x = 143,793.55/356.15
  6. Step 6: Final answer
    x = 403.74

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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.