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Finding the Fourth Proportional to 282.84, 425.82 and 257.72

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Solution

The fourth proportional to 282.84, 425.82 and 257.72 is: 388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 425.82 = 257.72 : x
  2. Step 2: Convert to fraction form
    282.84/425.82 = 257.72/x
  3. Step 3: Cross multiply
    282.84x = 425.82 × 257.72
  4. Step 4: Simplify right side
    282.84x = 109,742.33
  5. Step 5: Solve for x
    x = 109,742.33/282.84
  6. Step 6: Final answer
    x = 388.00

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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.