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Finding the Fourth Proportional to 418.17, 624.19 and 388.14

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Solution

The fourth proportional to 418.17, 624.19 and 388.14 is: 579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.17 : 624.19 = 388.14 : x
  2. Step 2: Convert to fraction form
    418.17/624.19 = 388.14/x
  3. Step 3: Cross multiply
    418.17x = 624.19 × 388.14
  4. Step 4: Simplify right side
    418.17x = 242,272.14
  5. Step 5: Solve for x
    x = 242,272.14/418.17
  6. Step 6: Final answer
    x = 579.36

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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.