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Finding the Fourth Proportional to 404.32, 558.08 and 257.04

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Solution

The fourth proportional to 404.32, 558.08 and 257.04 is: 354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.32 : 558.08 = 257.04 : x
  2. Step 2: Convert to fraction form
    404.32/558.08 = 257.04/x
  3. Step 3: Cross multiply
    404.32x = 558.08 × 257.04
  4. Step 4: Simplify right side
    404.32x = 143,448.88
  5. Step 5: Solve for x
    x = 143,448.88/404.32
  6. Step 6: Final answer
    x = 354.79

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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.