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Finding the Fourth Proportional to 356.98, 492.33 and 274.29

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Solution

The fourth proportional to 356.98, 492.33 and 274.29 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.98 : 492.33 = 274.29 : x
  2. Step 2: Convert to fraction form
    356.98/492.33 = 274.29/x
  3. Step 3: Cross multiply
    356.98x = 492.33 × 274.29
  4. Step 4: Simplify right side
    356.98x = 135,041.20
  5. Step 5: Solve for x
    x = 135,041.20/356.98
  6. Step 6: Final answer
    x = 378.29

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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.