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Finding the Fourth Proportional to 290.67, 435.90 and 98.25

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Solution

The fourth proportional to 290.67, 435.90 and 98.25 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.67 : 435.90 = 98.25 : x
  2. Step 2: Convert to fraction form
    290.67/435.90 = 98.25/x
  3. Step 3: Cross multiply
    290.67x = 435.90 × 98.25
  4. Step 4: Simplify right side
    290.67x = 42,827.18
  5. Step 5: Solve for x
    x = 42,827.18/290.67
  6. Step 6: Final answer
    x = 147.34

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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.