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Finding the Fourth Proportional to 356.91, 492.57 and 199.59

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Solution

The fourth proportional to 356.91, 492.57 and 199.59 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 492.57 = 199.59 : x
  2. Step 2: Convert to fraction form
    356.91/492.57 = 199.59/x
  3. Step 3: Cross multiply
    356.91x = 492.57 × 199.59
  4. Step 4: Simplify right side
    356.91x = 98,312.05
  5. Step 5: Solve for x
    x = 98,312.05/356.91
  6. Step 6: Final answer
    x = 275.45

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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.