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Finding the Fourth Proportional to 290.55, 433.98 and 209.34

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Solution

The fourth proportional to 290.55, 433.98 and 209.34 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.55 : 433.98 = 209.34 : x
  2. Step 2: Convert to fraction form
    290.55/433.98 = 209.34/x
  3. Step 3: Cross multiply
    290.55x = 433.98 × 209.34
  4. Step 4: Simplify right side
    290.55x = 90,849.37
  5. Step 5: Solve for x
    x = 90,849.37/290.55
  6. Step 6: Final answer
    x = 312.68

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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.