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Finding the Fourth Proportional to 356.28, 491.68 and 294.08

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Solution

The fourth proportional to 356.28, 491.68 and 294.08 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.28 : 491.68 = 294.08 : x
  2. Step 2: Convert to fraction form
    356.28/491.68 = 294.08/x
  3. Step 3: Cross multiply
    356.28x = 491.68 × 294.08
  4. Step 4: Simplify right side
    356.28x = 144,593.25
  5. Step 5: Solve for x
    x = 144,593.25/356.28
  6. Step 6: Final answer
    x = 405.84

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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.