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Finding the Fourth Proportional to 418.04, 576.82 and 240.98

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Solution

The fourth proportional to 418.04, 576.82 and 240.98 is: 332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.04 : 576.82 = 240.98 : x
  2. Step 2: Convert to fraction form
    418.04/576.82 = 240.98/x
  3. Step 3: Cross multiply
    418.04x = 576.82 × 240.98
  4. Step 4: Simplify right side
    418.04x = 139,002.08
  5. Step 5: Solve for x
    x = 139,002.08/418.04
  6. Step 6: Final answer
    x = 332.51

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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.