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Finding the Fourth Proportional to 316.54, 472.41 and 308.33

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Solution

The fourth proportional to 316.54, 472.41 and 308.33 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.54 : 472.41 = 308.33 : x
  2. Step 2: Convert to fraction form
    316.54/472.41 = 308.33/x
  3. Step 3: Cross multiply
    316.54x = 472.41 × 308.33
  4. Step 4: Simplify right side
    316.54x = 145,656.63
  5. Step 5: Solve for x
    x = 145,656.63/316.54
  6. Step 6: Final answer
    x = 460.16

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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.