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Finding the Fourth Proportional to 418.35, 626.36 and 315.32

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Solution

The fourth proportional to 418.35, 626.36 and 315.32 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.35 : 626.36 = 315.32 : x
  2. Step 2: Convert to fraction form
    418.35/626.36 = 315.32/x
  3. Step 3: Cross multiply
    418.35x = 626.36 × 315.32
  4. Step 4: Simplify right side
    418.35x = 197,499.13
  5. Step 5: Solve for x
    x = 197,499.13/418.35
  6. Step 6: Final answer
    x = 472.09

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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.