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Finding the Fourth Proportional to 282.34, 389.10 and 257.05

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Solution

The fourth proportional to 282.34, 389.10 and 257.05 is: 354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.34 : 389.10 = 257.05 : x
  2. Step 2: Convert to fraction form
    282.34/389.10 = 257.05/x
  3. Step 3: Cross multiply
    282.34x = 389.10 × 257.05
  4. Step 4: Simplify right side
    282.34x = 100,018.16
  5. Step 5: Solve for x
    x = 100,018.16/282.34
  6. Step 6: Final answer
    x = 354.25

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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.