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Finding the Fourth Proportional to 282.56, 390.56 and 256.46

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Solution

The fourth proportional to 282.56, 390.56 and 256.46 is: 354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 390.56 = 256.46 : x
  2. Step 2: Convert to fraction form
    282.56/390.56 = 256.46/x
  3. Step 3: Cross multiply
    282.56x = 390.56 × 256.46
  4. Step 4: Simplify right side
    282.56x = 100,159.78
  5. Step 5: Solve for x
    x = 100,159.78/282.56
  6. Step 6: Final answer
    x = 354.48

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