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Finding the Fourth Proportional to 281, 384.16 and 269.66

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Solution

The fourth proportional to 281, 384.16 and 269.66 is: 368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281 : 384.16 = 269.66 : x
  2. Step 2: Convert to fraction form
    281/384.16 = 269.66/x
  3. Step 3: Cross multiply
    281x = 384.16 × 269.66
  4. Step 4: Simplify right side
    281x = 103,592.59
  5. Step 5: Solve for x
    x = 103,592.59/281
  6. Step 6: Final answer
    x = 368.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.