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Finding the Fourth Proportional to 603.88, 905.90 and 257.15

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Solution

The fourth proportional to 603.88, 905.90 and 257.15 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.88 : 905.90 = 257.15 : x
  2. Step 2: Convert to fraction form
    603.88/905.90 = 257.15/x
  3. Step 3: Cross multiply
    603.88x = 905.90 × 257.15
  4. Step 4: Simplify right side
    603.88x = 232,952.19
  5. Step 5: Solve for x
    x = 232,952.19/603.88
  6. Step 6: Final answer
    x = 385.76

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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.