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Finding the Fourth Proportional to 356.46, 533.61 and 283.56

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Solution

The fourth proportional to 356.46, 533.61 and 283.56 is: 424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.46 : 533.61 = 283.56 : x
  2. Step 2: Convert to fraction form
    356.46/533.61 = 283.56/x
  3. Step 3: Cross multiply
    356.46x = 533.61 × 283.56
  4. Step 4: Simplify right side
    356.46x = 151,310.45
  5. Step 5: Solve for x
    x = 151,310.45/356.46
  6. Step 6: Final answer
    x = 424.48

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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.