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Finding the Fourth Proportional to 282.03, 388.13 and 258.72

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Solution

The fourth proportional to 282.03, 388.13 and 258.72 is: 356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.03 : 388.13 = 258.72 : x
  2. Step 2: Convert to fraction form
    282.03/388.13 = 258.72/x
  3. Step 3: Cross multiply
    282.03x = 388.13 × 258.72
  4. Step 4: Simplify right side
    282.03x = 100,415.70
  5. Step 5: Solve for x
    x = 100,415.70/282.03
  6. Step 6: Final answer
    x = 356.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.