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Finding the Fourth Proportional to 418.32, 624 and 350.28

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Solution

The fourth proportional to 418.32, 624 and 350.28 is: 522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 624 = 350.28 : x
  2. Step 2: Convert to fraction form
    418.32/624 = 350.28/x
  3. Step 3: Cross multiply
    418.32x = 624 × 350.28
  4. Step 4: Simplify right side
    418.32x = 218,574.72
  5. Step 5: Solve for x
    x = 218,574.72/418.32
  6. Step 6: Final answer
    x = 522.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.