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Finding the Fourth Proportional to 262.83, 394.68 and 155.28

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Solution

The fourth proportional to 262.83, 394.68 and 155.28 is: 233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 394.68 = 155.28 : x
  2. Step 2: Convert to fraction form
    262.83/394.68 = 155.28/x
  3. Step 3: Cross multiply
    262.83x = 394.68 × 155.28
  4. Step 4: Simplify right side
    262.83x = 61,285.91
  5. Step 5: Solve for x
    x = 61,285.91/262.83
  6. Step 6: Final answer
    x = 233.18

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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.