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Finding the Fourth Proportional to 290.40, 435.66 and 125.94

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Solution

The fourth proportional to 290.40, 435.66 and 125.94 is: 188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.40 : 435.66 = 125.94 : x
  2. Step 2: Convert to fraction form
    290.40/435.66 = 125.94/x
  3. Step 3: Cross multiply
    290.40x = 435.66 × 125.94
  4. Step 4: Simplify right side
    290.40x = 54,867.02
  5. Step 5: Solve for x
    x = 54,867.02/290.40
  6. Step 6: Final answer
    x = 188.94

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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.