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Finding the Fourth Proportional to 440.90, 608.50 and 263.91

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Solution

The fourth proportional to 440.90, 608.50 and 263.91 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.90 : 608.50 = 263.91 : x
  2. Step 2: Convert to fraction form
    440.90/608.50 = 263.91/x
  3. Step 3: Cross multiply
    440.90x = 608.50 × 263.91
  4. Step 4: Simplify right side
    440.90x = 160,589.24
  5. Step 5: Solve for x
    x = 160,589.24/440.90
  6. Step 6: Final answer
    x = 364.23

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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.