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Finding the Fourth Proportional to 397.84, 549.31 and 293.08

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Solution

The fourth proportional to 397.84, 549.31 and 293.08 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 549.31 = 293.08 : x
  2. Step 2: Convert to fraction form
    397.84/549.31 = 293.08/x
  3. Step 3: Cross multiply
    397.84x = 549.31 × 293.08
  4. Step 4: Simplify right side
    397.84x = 160,993.05
  5. Step 5: Solve for x
    x = 160,993.05/397.84
  6. Step 6: Final answer
    x = 404.67

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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.