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Finding the Fourth Proportional to 308.61, 460.24 and 263.25

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Solution

The fourth proportional to 308.61, 460.24 and 263.25 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.61 : 460.24 = 263.25 : x
  2. Step 2: Convert to fraction form
    308.61/460.24 = 263.25/x
  3. Step 3: Cross multiply
    308.61x = 460.24 × 263.25
  4. Step 4: Simplify right side
    308.61x = 121,157.52
  5. Step 5: Solve for x
    x = 121,157.52/308.61
  6. Step 6: Final answer
    x = 392.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.