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Finding the Fourth Proportional to 603.08, 903.98 and 278.18

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Solution

The fourth proportional to 603.08, 903.98 and 278.18 is: 416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.08 : 903.98 = 278.18 : x
  2. Step 2: Convert to fraction form
    603.08/903.98 = 278.18/x
  3. Step 3: Cross multiply
    603.08x = 903.98 × 278.18
  4. Step 4: Simplify right side
    603.08x = 251,469.16
  5. Step 5: Solve for x
    x = 251,469.16/603.08
  6. Step 6: Final answer
    x = 416.97

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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.