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Finding the Fourth Proportional to 492.15, 679.15 and 282.32

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Solution

The fourth proportional to 492.15, 679.15 and 282.32 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.15 : 679.15 = 282.32 : x
  2. Step 2: Convert to fraction form
    492.15/679.15 = 282.32/x
  3. Step 3: Cross multiply
    492.15x = 679.15 × 282.32
  4. Step 4: Simplify right side
    492.15x = 191,732.82
  5. Step 5: Solve for x
    x = 191,732.82/492.15
  6. Step 6: Final answer
    x = 389.58

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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.