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Finding the Fourth Proportional to 314.54, 433.91 and 209.60

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Solution

The fourth proportional to 314.54, 433.91 and 209.60 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 433.91 = 209.60 : x
  2. Step 2: Convert to fraction form
    314.54/433.91 = 209.60/x
  3. Step 3: Cross multiply
    314.54x = 433.91 × 209.60
  4. Step 4: Simplify right side
    314.54x = 90,945.89
  5. Step 5: Solve for x
    x = 90,945.89/314.54
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.