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Finding the Fourth Proportional to 290.90, 435.74 and 174.98

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Solution

The fourth proportional to 290.90, 435.74 and 174.98 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 435.74 = 174.98 : x
  2. Step 2: Convert to fraction form
    290.90/435.74 = 174.98/x
  3. Step 3: Cross multiply
    290.90x = 435.74 × 174.98
  4. Step 4: Simplify right side
    290.90x = 76,245.79
  5. Step 5: Solve for x
    x = 76,245.79/290.90
  6. Step 6: Final answer
    x = 262.10

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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.