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Finding the Fourth Proportional to 404.40, 558.72 and 288.48

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Solution

The fourth proportional to 404.40, 558.72 and 288.48 is: 398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.40 : 558.72 = 288.48 : x
  2. Step 2: Convert to fraction form
    404.40/558.72 = 288.48/x
  3. Step 3: Cross multiply
    404.40x = 558.72 × 288.48
  4. Step 4: Simplify right side
    404.40x = 161,179.55
  5. Step 5: Solve for x
    x = 161,179.55/404.40
  6. Step 6: Final answer
    x = 398.56

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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.