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Finding the Fourth Proportional to 388.76, 534.89 and 339.76

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Solution

The fourth proportional to 388.76, 534.89 and 339.76 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.76 : 534.89 = 339.76 : x
  2. Step 2: Convert to fraction form
    388.76/534.89 = 339.76/x
  3. Step 3: Cross multiply
    388.76x = 534.89 × 339.76
  4. Step 4: Simplify right side
    388.76x = 181,729.85
  5. Step 5: Solve for x
    x = 181,729.85/388.76
  6. Step 6: Final answer
    x = 467.46

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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.