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Finding the Fourth Proportional to 387.78, 535.37 and 339.18

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Solution

The fourth proportional to 387.78, 535.37 and 339.18 is: 468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.78 : 535.37 = 339.18 : x
  2. Step 2: Convert to fraction form
    387.78/535.37 = 339.18/x
  3. Step 3: Cross multiply
    387.78x = 535.37 × 339.18
  4. Step 4: Simplify right side
    387.78x = 181,586.80
  5. Step 5: Solve for x
    x = 181,586.80/387.78
  6. Step 6: Final answer
    x = 468.27

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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.