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Finding the Fourth Proportional to 401.59, 555.14 and 286.15

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Solution

The fourth proportional to 401.59, 555.14 and 286.15 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.59 : 555.14 = 286.15 : x
  2. Step 2: Convert to fraction form
    401.59/555.14 = 286.15/x
  3. Step 3: Cross multiply
    401.59x = 555.14 × 286.15
  4. Step 4: Simplify right side
    401.59x = 158,853.31
  5. Step 5: Solve for x
    x = 158,853.31/401.59
  6. Step 6: Final answer
    x = 395.56

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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.