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Finding the Fourth Proportional to 418.42, 630.13 and 364.96

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Solution

The fourth proportional to 418.42, 630.13 and 364.96 is: 549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 630.13 = 364.96 : x
  2. Step 2: Convert to fraction form
    418.42/630.13 = 364.96/x
  3. Step 3: Cross multiply
    418.42x = 630.13 × 364.96
  4. Step 4: Simplify right side
    418.42x = 229,972.24
  5. Step 5: Solve for x
    x = 229,972.24/418.42
  6. Step 6: Final answer
    x = 549.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.