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Finding the Fourth Proportional to 356.04, 491.40 and 200.82

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Solution

The fourth proportional to 356.04, 491.40 and 200.82 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.04 : 491.40 = 200.82 : x
  2. Step 2: Convert to fraction form
    356.04/491.40 = 200.82/x
  3. Step 3: Cross multiply
    356.04x = 491.40 × 200.82
  4. Step 4: Simplify right side
    356.04x = 98,682.95
  5. Step 5: Solve for x
    x = 98,682.95/356.04
  6. Step 6: Final answer
    x = 277.17

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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.