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Finding the Fourth Proportional to 262.87, 392.22 and 256.70

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Solution

The fourth proportional to 262.87, 392.22 and 256.70 is: 383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.87 : 392.22 = 256.70 : x
  2. Step 2: Convert to fraction form
    262.87/392.22 = 256.70/x
  3. Step 3: Cross multiply
    262.87x = 392.22 × 256.70
  4. Step 4: Simplify right side
    262.87x = 100,683.85
  5. Step 5: Solve for x
    x = 100,683.85/262.87
  6. Step 6: Final answer
    x = 383.02

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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.