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Finding the Fourth Proportional to 467.42, 644.99 and 290.34

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Solution

The fourth proportional to 467.42, 644.99 and 290.34 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.42 : 644.99 = 290.34 : x
  2. Step 2: Convert to fraction form
    467.42/644.99 = 290.34/x
  3. Step 3: Cross multiply
    467.42x = 644.99 × 290.34
  4. Step 4: Simplify right side
    467.42x = 187,264.94
  5. Step 5: Solve for x
    x = 187,264.94/467.42
  6. Step 6: Final answer
    x = 400.64

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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.