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Finding the Fourth Proportional to 412.98, 569.75 and 281.76

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Solution

The fourth proportional to 412.98, 569.75 and 281.76 is: 388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 569.75 = 281.76 : x
  2. Step 2: Convert to fraction form
    412.98/569.75 = 281.76/x
  3. Step 3: Cross multiply
    412.98x = 569.75 × 281.76
  4. Step 4: Simplify right side
    412.98x = 160,531.35
  5. Step 5: Solve for x
    x = 160,531.35/412.98
  6. Step 6: Final answer
    x = 388.71

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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.