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Finding the Fourth Proportional to 262.38, 390.66 and 258.48

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Solution

The fourth proportional to 262.38, 390.66 and 258.48 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.38 : 390.66 = 258.48 : x
  2. Step 2: Convert to fraction form
    262.38/390.66 = 258.48/x
  3. Step 3: Cross multiply
    262.38x = 390.66 × 258.48
  4. Step 4: Simplify right side
    262.38x = 100,977.80
  5. Step 5: Solve for x
    x = 100,977.80/262.38
  6. Step 6: Final answer
    x = 384.85

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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.