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Finding the Fourth Proportional to 464.88, 641.36 and 340.24

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Solution

The fourth proportional to 464.88, 641.36 and 340.24 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 641.36 = 340.24 : x
  2. Step 2: Convert to fraction form
    464.88/641.36 = 340.24/x
  3. Step 3: Cross multiply
    464.88x = 641.36 × 340.24
  4. Step 4: Simplify right side
    464.88x = 218,216.33
  5. Step 5: Solve for x
    x = 218,216.33/464.88
  6. Step 6: Final answer
    x = 469.40

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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.