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Finding the Fourth Proportional to 394.77, 543.15 and 342.15

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Solution

The fourth proportional to 394.77, 543.15 and 342.15 is: 470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.77 : 543.15 = 342.15 : x
  2. Step 2: Convert to fraction form
    394.77/543.15 = 342.15/x
  3. Step 3: Cross multiply
    394.77x = 543.15 × 342.15
  4. Step 4: Simplify right side
    394.77x = 185,838.77
  5. Step 5: Solve for x
    x = 185,838.77/394.77
  6. Step 6: Final answer
    x = 470.75

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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.