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Finding the Fourth Proportional to 336.47, 463.61 and 289.19

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Solution

The fourth proportional to 336.47, 463.61 and 289.19 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.47 : 463.61 = 289.19 : x
  2. Step 2: Convert to fraction form
    336.47/463.61 = 289.19/x
  3. Step 3: Cross multiply
    336.47x = 463.61 × 289.19
  4. Step 4: Simplify right side
    336.47x = 134,067.61
  5. Step 5: Solve for x
    x = 134,067.61/336.47
  6. Step 6: Final answer
    x = 398.46

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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.