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Finding the Fourth Proportional to 393.59, 544.71 and 338.51

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Solution

The fourth proportional to 393.59, 544.71 and 338.51 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.59 : 544.71 = 338.51 : x
  2. Step 2: Convert to fraction form
    393.59/544.71 = 338.51/x
  3. Step 3: Cross multiply
    393.59x = 544.71 × 338.51
  4. Step 4: Simplify right side
    393.59x = 184,389.78
  5. Step 5: Solve for x
    x = 184,389.78/393.59
  6. Step 6: Final answer
    x = 468.48

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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.