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Finding the Fourth Proportional to 415.53, 619.19 and 388.19

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Solution

The fourth proportional to 415.53, 619.19 and 388.19 is: 578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 619.19 = 388.19 : x
  2. Step 2: Convert to fraction form
    415.53/619.19 = 388.19/x
  3. Step 3: Cross multiply
    415.53x = 619.19 × 388.19
  4. Step 4: Simplify right side
    415.53x = 240,366.61
  5. Step 5: Solve for x
    x = 240,366.61/415.53
  6. Step 6: Final answer
    x = 578.46

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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.