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Finding the Fourth Proportional to 280.51, 386.09 and 238.93

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Solution

The fourth proportional to 280.51, 386.09 and 238.93 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 386.09 = 238.93 : x
  2. Step 2: Convert to fraction form
    280.51/386.09 = 238.93/x
  3. Step 3: Cross multiply
    280.51x = 386.09 × 238.93
  4. Step 4: Simplify right side
    280.51x = 92,247.29
  5. Step 5: Solve for x
    x = 92,247.29/280.51
  6. Step 6: Final answer
    x = 328.86

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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.