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Finding the Fourth Proportional to 386.54, 534.20 and 349.48

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Solution

The fourth proportional to 386.54, 534.20 and 349.48 is: 482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.54 : 534.20 = 349.48 : x
  2. Step 2: Convert to fraction form
    386.54/534.20 = 349.48/x
  3. Step 3: Cross multiply
    386.54x = 534.20 × 349.48
  4. Step 4: Simplify right side
    386.54x = 186,691.14
  5. Step 5: Solve for x
    x = 186,691.14/386.54
  6. Step 6: Final answer
    x = 482.98

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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.