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Finding the Fourth Proportional to 386.73, 533.20 and 316.63

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Solution

The fourth proportional to 386.73, 533.20 and 316.63 is: 436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.73 : 533.20 = 316.63 : x
  2. Step 2: Convert to fraction form
    386.73/533.20 = 316.63/x
  3. Step 3: Cross multiply
    386.73x = 533.20 × 316.63
  4. Step 4: Simplify right side
    386.73x = 168,827.12
  5. Step 5: Solve for x
    x = 168,827.12/386.73
  6. Step 6: Final answer
    x = 436.55

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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.