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Finding the Fourth Proportional to 404.49, 558.30 and 257.07

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Solution

The fourth proportional to 404.49, 558.30 and 257.07 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.49 : 558.30 = 257.07 : x
  2. Step 2: Convert to fraction form
    404.49/558.30 = 257.07/x
  3. Step 3: Cross multiply
    404.49x = 558.30 × 257.07
  4. Step 4: Simplify right side
    404.49x = 143,522.18
  5. Step 5: Solve for x
    x = 143,522.18/404.49
  6. Step 6: Final answer
    x = 354.82

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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.