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Finding the Fourth Proportional to 388.46, 584.82 and 354.44

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Solution

The fourth proportional to 388.46, 584.82 and 354.44 is: 533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.46 : 584.82 = 354.44 : x
  2. Step 2: Convert to fraction form
    388.46/584.82 = 354.44/x
  3. Step 3: Cross multiply
    388.46x = 584.82 × 354.44
  4. Step 4: Simplify right side
    388.46x = 207,285.06
  5. Step 5: Solve for x
    x = 207,285.06/388.46
  6. Step 6: Final answer
    x = 533.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.