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Finding the Fourth Proportional to 390.34, 537.92 and 279.62

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Solution

The fourth proportional to 390.34, 537.92 and 279.62 is: 385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.34 : 537.92 = 279.62 : x
  2. Step 2: Convert to fraction form
    390.34/537.92 = 279.62/x
  3. Step 3: Cross multiply
    390.34x = 537.92 × 279.62
  4. Step 4: Simplify right side
    390.34x = 150,413.89
  5. Step 5: Solve for x
    x = 150,413.89/390.34
  6. Step 6: Final answer
    x = 385.35

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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.