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Finding the Fourth Proportional to 418.16, 624.17 and 388.13

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Solution

The fourth proportional to 418.16, 624.17 and 388.13 is: 579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 624.17 = 388.13 : x
  2. Step 2: Convert to fraction form
    418.16/624.17 = 388.13/x
  3. Step 3: Cross multiply
    418.16x = 624.17 × 388.13
  4. Step 4: Simplify right side
    418.16x = 242,256.95
  5. Step 5: Solve for x
    x = 242,256.95/418.16
  6. Step 6: Final answer
    x = 579.34

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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.