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Finding the Fourth Proportional to 467.30, 703.66 and 338.18

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Solution

The fourth proportional to 467.30, 703.66 and 338.18 is: 509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 703.66 = 338.18 : x
  2. Step 2: Convert to fraction form
    467.30/703.66 = 338.18/x
  3. Step 3: Cross multiply
    467.30x = 703.66 × 338.18
  4. Step 4: Simplify right side
    467.30x = 237,963.74
  5. Step 5: Solve for x
    x = 237,963.74/467.30
  6. Step 6: Final answer
    x = 509.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.