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Finding the Fourth Proportional to 418.61, 576.71 and 270.99

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Solution

The fourth proportional to 418.61, 576.71 and 270.99 is: 373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 576.71 = 270.99 : x
  2. Step 2: Convert to fraction form
    418.61/576.71 = 270.99/x
  3. Step 3: Cross multiply
    418.61x = 576.71 × 270.99
  4. Step 4: Simplify right side
    418.61x = 156,282.64
  5. Step 5: Solve for x
    x = 156,282.64/418.61
  6. Step 6: Final answer
    x = 373.34

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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.