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Finding the Fourth Proportional to 401.22, 598.92 and 355.20

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Solution

The fourth proportional to 401.22, 598.92 and 355.20 is: 530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.22 : 598.92 = 355.20 : x
  2. Step 2: Convert to fraction form
    401.22/598.92 = 355.20/x
  3. Step 3: Cross multiply
    401.22x = 598.92 × 355.20
  4. Step 4: Simplify right side
    401.22x = 212,736.38
  5. Step 5: Solve for x
    x = 212,736.38/401.22
  6. Step 6: Final answer
    x = 530.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.