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Finding the Fourth Proportional to 467.43, 644.86 and 270.91

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Solution

The fourth proportional to 467.43, 644.86 and 270.91 is: 373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.43 : 644.86 = 270.91 : x
  2. Step 2: Convert to fraction form
    467.43/644.86 = 270.91/x
  3. Step 3: Cross multiply
    467.43x = 644.86 × 270.91
  4. Step 4: Simplify right side
    467.43x = 174,699.02
  5. Step 5: Solve for x
    x = 174,699.02/467.43
  6. Step 6: Final answer
    x = 373.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.