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Finding the Fourth Proportional to 397.70, 549.09 and 356.12

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Solution

The fourth proportional to 397.70, 549.09 and 356.12 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 549.09 = 356.12 : x
  2. Step 2: Convert to fraction form
    397.70/549.09 = 356.12/x
  3. Step 3: Cross multiply
    397.70x = 549.09 × 356.12
  4. Step 4: Simplify right side
    397.70x = 195,541.93
  5. Step 5: Solve for x
    x = 195,541.93/397.70
  6. Step 6: Final answer
    x = 491.68

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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.