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Finding the Fourth Proportional to 260.51, 388.59 and 243.05

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Solution

The fourth proportional to 260.51, 388.59 and 243.05 is: 362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.51 : 388.59 = 243.05 : x
  2. Step 2: Convert to fraction form
    260.51/388.59 = 243.05/x
  3. Step 3: Cross multiply
    260.51x = 388.59 × 243.05
  4. Step 4: Simplify right side
    260.51x = 94,443.95
  5. Step 5: Solve for x
    x = 94,443.95/260.51
  6. Step 6: Final answer
    x = 362.54

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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.