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Finding the Fourth Proportional to 492.05, 678.75 and 295.45

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Solution

The fourth proportional to 492.05, 678.75 and 295.45 is: 407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.05 : 678.75 = 295.45 : x
  2. Step 2: Convert to fraction form
    492.05/678.75 = 295.45/x
  3. Step 3: Cross multiply
    492.05x = 678.75 × 295.45
  4. Step 4: Simplify right side
    492.05x = 200,536.69
  5. Step 5: Solve for x
    x = 200,536.69/492.05
  6. Step 6: Final answer
    x = 407.55

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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.