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Finding the Fourth Proportional to 356.70, 492.12 and 286.95

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Solution

The fourth proportional to 356.70, 492.12 and 286.95 is: 395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.70 : 492.12 = 286.95 : x
  2. Step 2: Convert to fraction form
    356.70/492.12 = 286.95/x
  3. Step 3: Cross multiply
    356.70x = 492.12 × 286.95
  4. Step 4: Simplify right side
    356.70x = 141,213.83
  5. Step 5: Solve for x
    x = 141,213.83/356.70
  6. Step 6: Final answer
    x = 395.89

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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.