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Finding the Fourth Proportional to 412.88, 570.24 and 281.66

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Solution

The fourth proportional to 412.88, 570.24 and 281.66 is: 389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 570.24 = 281.66 : x
  2. Step 2: Convert to fraction form
    412.88/570.24 = 281.66/x
  3. Step 3: Cross multiply
    412.88x = 570.24 × 281.66
  4. Step 4: Simplify right side
    412.88x = 160,610.95
  5. Step 5: Solve for x
    x = 160,610.95/412.88
  6. Step 6: Final answer
    x = 389.01

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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.