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Finding the Fourth Proportional to 386.51, 532.43 and 281.30

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Solution

The fourth proportional to 386.51, 532.43 and 281.30 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.51 : 532.43 = 281.30 : x
  2. Step 2: Convert to fraction form
    386.51/532.43 = 281.30/x
  3. Step 3: Cross multiply
    386.51x = 532.43 × 281.30
  4. Step 4: Simplify right side
    386.51x = 149,768.49
  5. Step 5: Solve for x
    x = 149,768.49/386.51
  6. Step 6: Final answer
    x = 387.49

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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.