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Finding the Fourth Proportional to 282.96, 390.60 and 258.48

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Solution

The fourth proportional to 282.96, 390.60 and 258.48 is: 356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 390.60 = 258.48 : x
  2. Step 2: Convert to fraction form
    282.96/390.60 = 258.48/x
  3. Step 3: Cross multiply
    282.96x = 390.60 × 258.48
  4. Step 4: Simplify right side
    282.96x = 100,962.29
  5. Step 5: Solve for x
    x = 100,962.29/282.96
  6. Step 6: Final answer
    x = 356.81

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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.