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Finding the Fourth Proportional to 356.84, 536.22 and 272.36

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Solution

The fourth proportional to 356.84, 536.22 and 272.36 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.84 : 536.22 = 272.36 : x
  2. Step 2: Convert to fraction form
    356.84/536.22 = 272.36/x
  3. Step 3: Cross multiply
    356.84x = 536.22 × 272.36
  4. Step 4: Simplify right side
    356.84x = 146,044.88
  5. Step 5: Solve for x
    x = 146,044.88/356.84
  6. Step 6: Final answer
    x = 409.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.