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Finding the Fourth Proportional to 262.30, 391.40 and 228.01

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Solution

The fourth proportional to 262.30, 391.40 and 228.01 is: 340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.30 : 391.40 = 228.01 : x
  2. Step 2: Convert to fraction form
    262.30/391.40 = 228.01/x
  3. Step 3: Cross multiply
    262.30x = 391.40 × 228.01
  4. Step 4: Simplify right side
    262.30x = 89,243.11
  5. Step 5: Solve for x
    x = 89,243.11/262.30
  6. Step 6: Final answer
    x = 340.23

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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.