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Finding the Fourth Proportional to 384.90, 575.18 and 276.90

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Solution

The fourth proportional to 384.90, 575.18 and 276.90 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.90 : 575.18 = 276.90 : x
  2. Step 2: Convert to fraction form
    384.90/575.18 = 276.90/x
  3. Step 3: Cross multiply
    384.90x = 575.18 × 276.90
  4. Step 4: Simplify right side
    384.90x = 159,265.96
  5. Step 5: Solve for x
    x = 159,265.96/384.90
  6. Step 6: Final answer
    x = 413.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.