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Finding the Fourth Proportional to 395.66, 542.44 and 388.34

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Solution

The fourth proportional to 395.66, 542.44 and 388.34 is: 532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.66 : 542.44 = 388.34 : x
  2. Step 2: Convert to fraction form
    395.66/542.44 = 388.34/x
  3. Step 3: Cross multiply
    395.66x = 542.44 × 388.34
  4. Step 4: Simplify right side
    395.66x = 210,651.15
  5. Step 5: Solve for x
    x = 210,651.15/395.66
  6. Step 6: Final answer
    x = 532.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.