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Finding the Fourth Proportional to 290.18, 433.45 and 208.37

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Solution

The fourth proportional to 290.18, 433.45 and 208.37 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 433.45 = 208.37 : x
  2. Step 2: Convert to fraction form
    290.18/433.45 = 208.37/x
  3. Step 3: Cross multiply
    290.18x = 433.45 × 208.37
  4. Step 4: Simplify right side
    290.18x = 90,317.98
  5. Step 5: Solve for x
    x = 90,317.98/290.18
  6. Step 6: Final answer
    x = 311.25

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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.