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Finding the Fourth Proportional to 307.02, 459.97 and 209.13

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Solution

The fourth proportional to 307.02, 459.97 and 209.13 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.02 : 459.97 = 209.13 : x
  2. Step 2: Convert to fraction form
    307.02/459.97 = 209.13/x
  3. Step 3: Cross multiply
    307.02x = 459.97 × 209.13
  4. Step 4: Simplify right side
    307.02x = 96,193.53
  5. Step 5: Solve for x
    x = 96,193.53/307.02
  6. Step 6: Final answer
    x = 313.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.