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Finding the Fourth Proportional to 439.04, 657.48 and 276.32

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Solution

The fourth proportional to 439.04, 657.48 and 276.32 is: 413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.04 : 657.48 = 276.32 : x
  2. Step 2: Convert to fraction form
    439.04/657.48 = 276.32/x
  3. Step 3: Cross multiply
    439.04x = 657.48 × 276.32
  4. Step 4: Simplify right side
    439.04x = 181,674.87
  5. Step 5: Solve for x
    x = 181,674.87/439.04
  6. Step 6: Final answer
    x = 413.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.