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Finding the Fourth Proportional to 340.88, 467.30 and 322.65

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Solution

The fourth proportional to 340.88, 467.30 and 322.65 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.88 : 467.30 = 322.65 : x
  2. Step 2: Convert to fraction form
    340.88/467.30 = 322.65/x
  3. Step 3: Cross multiply
    340.88x = 467.30 × 322.65
  4. Step 4: Simplify right side
    340.88x = 150,775.15
  5. Step 5: Solve for x
    x = 150,775.15/340.88
  6. Step 6: Final answer
    x = 442.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.