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Finding the Fourth Proportional to 313.70, 433.08 and 208.93

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Solution

The fourth proportional to 313.70, 433.08 and 208.93 is: 288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 433.08 = 208.93 : x
  2. Step 2: Convert to fraction form
    313.70/433.08 = 208.93/x
  3. Step 3: Cross multiply
    313.70x = 433.08 × 208.93
  4. Step 4: Simplify right side
    313.70x = 90,483.40
  5. Step 5: Solve for x
    x = 90,483.40/313.70
  6. Step 6: Final answer
    x = 288.44

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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.