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Finding the Fourth Proportional to 290.45, 433.33 and 263.93

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Solution

The fourth proportional to 290.45, 433.33 and 263.93 is: 393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.45 : 433.33 = 263.93 : x
  2. Step 2: Convert to fraction form
    290.45/433.33 = 263.93/x
  3. Step 3: Cross multiply
    290.45x = 433.33 × 263.93
  4. Step 4: Simplify right side
    290.45x = 114,367.45
  5. Step 5: Solve for x
    x = 114,367.45/290.45
  6. Step 6: Final answer
    x = 393.76

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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.