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Finding the Fourth Proportional to 433.61, 649.78 and 257.74

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Solution

The fourth proportional to 433.61, 649.78 and 257.74 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.61 : 649.78 = 257.74 : x
  2. Step 2: Convert to fraction form
    433.61/649.78 = 257.74/x
  3. Step 3: Cross multiply
    433.61x = 649.78 × 257.74
  4. Step 4: Simplify right side
    433.61x = 167,472.03
  5. Step 5: Solve for x
    x = 167,472.03/433.61
  6. Step 6: Final answer
    x = 386.23

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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.