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Finding the Fourth Proportional to 281.93, 389.27 and 215.66

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Solution

The fourth proportional to 281.93, 389.27 and 215.66 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.93 : 389.27 = 215.66 : x
  2. Step 2: Convert to fraction form
    281.93/389.27 = 215.66/x
  3. Step 3: Cross multiply
    281.93x = 389.27 × 215.66
  4. Step 4: Simplify right side
    281.93x = 83,946.94
  5. Step 5: Solve for x
    x = 83,946.94/281.93
  6. Step 6: Final answer
    x = 297.76

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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.