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Finding the Fourth Proportional to 279.74, 386.06 and 155.41

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Solution

The fourth proportional to 279.74, 386.06 and 155.41 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 386.06 = 155.41 : x
  2. Step 2: Convert to fraction form
    279.74/386.06 = 155.41/x
  3. Step 3: Cross multiply
    279.74x = 386.06 × 155.41
  4. Step 4: Simplify right side
    279.74x = 59,995.84
  5. Step 5: Solve for x
    x = 59,995.84/279.74
  6. Step 6: Final answer
    x = 214.47

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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.