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Finding the Fourth Proportional to 356.91, 492.52 and 199.51

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Solution

The fourth proportional to 356.91, 492.52 and 199.51 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 492.52 = 199.51 : x
  2. Step 2: Convert to fraction form
    356.91/492.52 = 199.51/x
  3. Step 3: Cross multiply
    356.91x = 492.52 × 199.51
  4. Step 4: Simplify right side
    356.91x = 98,262.13
  5. Step 5: Solve for x
    x = 98,262.13/356.91
  6. Step 6: Final answer
    x = 275.31

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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.