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Finding the Fourth Proportional to 490.18, 734.64 and 295.06

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Solution

The fourth proportional to 490.18, 734.64 and 295.06 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.18 : 734.64 = 295.06 : x
  2. Step 2: Convert to fraction form
    490.18/734.64 = 295.06/x
  3. Step 3: Cross multiply
    490.18x = 734.64 × 295.06
  4. Step 4: Simplify right side
    490.18x = 216,762.88
  5. Step 5: Solve for x
    x = 216,762.88/490.18
  6. Step 6: Final answer
    x = 442.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.