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Finding the Fourth Proportional to 258.09, 384.68 and 203.01

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Solution

The fourth proportional to 258.09, 384.68 and 203.01 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 384.68 = 203.01 : x
  2. Step 2: Convert to fraction form
    258.09/384.68 = 203.01/x
  3. Step 3: Cross multiply
    258.09x = 384.68 × 203.01
  4. Step 4: Simplify right side
    258.09x = 78,092.87
  5. Step 5: Solve for x
    x = 78,092.87/258.09
  6. Step 6: Final answer
    x = 302.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.