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Finding the Fourth Proportional to 262.20, 390.31 and 258.31

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Solution

The fourth proportional to 262.20, 390.31 and 258.31 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 390.31 = 258.31 : x
  2. Step 2: Convert to fraction form
    262.20/390.31 = 258.31/x
  3. Step 3: Cross multiply
    262.20x = 390.31 × 258.31
  4. Step 4: Simplify right side
    262.20x = 100,820.33
  5. Step 5: Solve for x
    x = 100,820.33/262.20
  6. Step 6: Final answer
    x = 384.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.