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Finding the Fourth Proportional to 401.82, 555.22 and 315.15

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Solution

The fourth proportional to 401.82, 555.22 and 315.15 is: 435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 555.22 = 315.15 : x
  2. Step 2: Convert to fraction form
    401.82/555.22 = 315.15/x
  3. Step 3: Cross multiply
    401.82x = 555.22 × 315.15
  4. Step 4: Simplify right side
    401.82x = 174,977.58
  5. Step 5: Solve for x
    x = 174,977.58/401.82
  6. Step 6: Final answer
    x = 435.46

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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.