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Finding the Fourth Proportional to 270.81, 406.16 and 124.51

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Solution

The fourth proportional to 270.81, 406.16 and 124.51 is: 186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.81 : 406.16 = 124.51 : x
  2. Step 2: Convert to fraction form
    270.81/406.16 = 124.51/x
  3. Step 3: Cross multiply
    270.81x = 406.16 × 124.51
  4. Step 4: Simplify right side
    270.81x = 50,570.98
  5. Step 5: Solve for x
    x = 50,570.98/270.81
  6. Step 6: Final answer
    x = 186.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.