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Finding the Fourth Proportional to 356.22, 536.21 and 322.68

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Solution

The fourth proportional to 356.22, 536.21 and 322.68 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 536.21 = 322.68 : x
  2. Step 2: Convert to fraction form
    356.22/536.21 = 322.68/x
  3. Step 3: Cross multiply
    356.22x = 536.21 × 322.68
  4. Step 4: Simplify right side
    356.22x = 173,022.63
  5. Step 5: Solve for x
    x = 173,022.63/356.22
  6. Step 6: Final answer
    x = 485.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.