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Finding the Fourth Proportional to 357.15, 493.10 and 274.11

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Solution

The fourth proportional to 357.15, 493.10 and 274.11 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 493.10 = 274.11 : x
  2. Step 2: Convert to fraction form
    357.15/493.10 = 274.11/x
  3. Step 3: Cross multiply
    357.15x = 493.10 × 274.11
  4. Step 4: Simplify right side
    357.15x = 135,163.64
  5. Step 5: Solve for x
    x = 135,163.64/357.15
  6. Step 6: Final answer
    x = 378.45

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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.