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Finding the Fourth Proportional to 412.93, 570.33 and 281.71

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Solution

The fourth proportional to 412.93, 570.33 and 281.71 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 570.33 = 281.71 : x
  2. Step 2: Convert to fraction form
    412.93/570.33 = 281.71/x
  3. Step 3: Cross multiply
    412.93x = 570.33 × 281.71
  4. Step 4: Simplify right side
    412.93x = 160,667.66
  5. Step 5: Solve for x
    x = 160,667.66/412.93
  6. Step 6: Final answer
    x = 389.09

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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.