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Finding the Fourth Proportional to 397.78, 549.06 and 257.91

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Solution

The fourth proportional to 397.78, 549.06 and 257.91 is: 355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 549.06 = 257.91 : x
  2. Step 2: Convert to fraction form
    397.78/549.06 = 257.91/x
  3. Step 3: Cross multiply
    397.78x = 549.06 × 257.91
  4. Step 4: Simplify right side
    397.78x = 141,606.69
  5. Step 5: Solve for x
    x = 141,606.69/397.78
  6. Step 6: Final answer
    x = 355.99

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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.