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Finding the Fourth Proportional to 258.72, 389.49 and 236.40

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Solution

The fourth proportional to 258.72, 389.49 and 236.40 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 389.49 = 236.40 : x
  2. Step 2: Convert to fraction form
    258.72/389.49 = 236.40/x
  3. Step 3: Cross multiply
    258.72x = 389.49 × 236.40
  4. Step 4: Simplify right side
    258.72x = 92,075.44
  5. Step 5: Solve for x
    x = 92,075.44/258.72
  6. Step 6: Final answer
    x = 355.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.