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Finding the Fourth Proportional to 388.20, 535.78 and 346.98

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Solution

The fourth proportional to 388.20, 535.78 and 346.98 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.20 : 535.78 = 346.98 : x
  2. Step 2: Convert to fraction form
    388.20/535.78 = 346.98/x
  3. Step 3: Cross multiply
    388.20x = 535.78 × 346.98
  4. Step 4: Simplify right side
    388.20x = 185,902.74
  5. Step 5: Solve for x
    x = 185,902.74/388.20
  6. Step 6: Final answer
    x = 478.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.