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Finding the Fourth Proportional to 437.85, 604.20 and 260.82

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Solution

The fourth proportional to 437.85, 604.20 and 260.82 is: 359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 604.20 = 260.82 : x
  2. Step 2: Convert to fraction form
    437.85/604.20 = 260.82/x
  3. Step 3: Cross multiply
    437.85x = 604.20 × 260.82
  4. Step 4: Simplify right side
    437.85x = 157,587.44
  5. Step 5: Solve for x
    x = 157,587.44/437.85
  6. Step 6: Final answer
    x = 359.92

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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.