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Finding the Fourth Proportional to 467.28, 644.88 and 260.28

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Solution

The fourth proportional to 467.28, 644.88 and 260.28 is: 359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.28 : 644.88 = 260.28 : x
  2. Step 2: Convert to fraction form
    467.28/644.88 = 260.28/x
  3. Step 3: Cross multiply
    467.28x = 644.88 × 260.28
  4. Step 4: Simplify right side
    467.28x = 167,849.37
  5. Step 5: Solve for x
    x = 167,849.37/467.28
  6. Step 6: Final answer
    x = 359.21

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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.