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Finding the Fourth Proportional to 440.86, 608.51 and 263.86

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Solution

The fourth proportional to 440.86, 608.51 and 263.86 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.86 : 608.51 = 263.86 : x
  2. Step 2: Convert to fraction form
    440.86/608.51 = 263.86/x
  3. Step 3: Cross multiply
    440.86x = 608.51 × 263.86
  4. Step 4: Simplify right side
    440.86x = 160,561.45
  5. Step 5: Solve for x
    x = 160,561.45/440.86
  6. Step 6: Final answer
    x = 364.20

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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.