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Finding the Fourth Proportional to 313.93, 433.15 and 208.90

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Solution

The fourth proportional to 313.93, 433.15 and 208.90 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.93 : 433.15 = 208.90 : x
  2. Step 2: Convert to fraction form
    313.93/433.15 = 208.90/x
  3. Step 3: Cross multiply
    313.93x = 433.15 × 208.90
  4. Step 4: Simplify right side
    313.93x = 90,485.04
  5. Step 5: Solve for x
    x = 90,485.04/313.93
  6. Step 6: Final answer
    x = 288.23

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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.