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Finding the Fourth Proportional to 412.99, 570.04 and 280.44

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Solution

The fourth proportional to 412.99, 570.04 and 280.44 is: 387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.99 : 570.04 = 280.44 : x
  2. Step 2: Convert to fraction form
    412.99/570.04 = 280.44/x
  3. Step 3: Cross multiply
    412.99x = 570.04 × 280.44
  4. Step 4: Simplify right side
    412.99x = 159,857.77
  5. Step 5: Solve for x
    x = 159,857.77/412.99
  6. Step 6: Final answer
    x = 387.07

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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.