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Finding the Fourth Proportional to 603.40, 905.21 and 208.06

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Solution

The fourth proportional to 603.40, 905.21 and 208.06 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 905.21 = 208.06 : x
  2. Step 2: Convert to fraction form
    603.40/905.21 = 208.06/x
  3. Step 3: Cross multiply
    603.40x = 905.21 × 208.06
  4. Step 4: Simplify right side
    603.40x = 188,337.99
  5. Step 5: Solve for x
    x = 188,337.99/603.40
  6. Step 6: Final answer
    x = 312.13

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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.