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Finding the Fourth Proportional to 282.80, 388.16 and 251.01

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Solution

The fourth proportional to 282.80, 388.16 and 251.01 is: 344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 388.16 = 251.01 : x
  2. Step 2: Convert to fraction form
    282.80/388.16 = 251.01/x
  3. Step 3: Cross multiply
    282.80x = 388.16 × 251.01
  4. Step 4: Simplify right side
    282.80x = 97,430.79
  5. Step 5: Solve for x
    x = 97,430.79/282.80
  6. Step 6: Final answer
    x = 344.53

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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.