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Finding the Fourth Proportional to 282.02, 388.94 and 262.58

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Solution

The fourth proportional to 282.02, 388.94 and 262.58 is: 362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 388.94 = 262.58 : x
  2. Step 2: Convert to fraction form
    282.02/388.94 = 262.58/x
  3. Step 3: Cross multiply
    282.02x = 388.94 × 262.58
  4. Step 4: Simplify right side
    282.02x = 102,124.61
  5. Step 5: Solve for x
    x = 102,124.61/282.02
  6. Step 6: Final answer
    x = 362.12

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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.