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Finding the Fourth Proportional to 357.13, 533.43 and 280.18

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Solution

The fourth proportional to 357.13, 533.43 and 280.18 is: 418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.13 : 533.43 = 280.18 : x
  2. Step 2: Convert to fraction form
    357.13/533.43 = 280.18/x
  3. Step 3: Cross multiply
    357.13x = 533.43 × 280.18
  4. Step 4: Simplify right side
    357.13x = 149,456.42
  5. Step 5: Solve for x
    x = 149,456.42/357.13
  6. Step 6: Final answer
    x = 418.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.