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Finding the Fourth Proportional to 290.38, 435.57 and 98

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Solution

The fourth proportional to 290.38, 435.57 and 98 is: 147

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.38 : 435.57 = 98 : x
  2. Step 2: Convert to fraction form
    290.38/435.57 = 98/x
  3. Step 3: Cross multiply
    290.38x = 435.57 × 98
  4. Step 4: Simplify right side
    290.38x = 42,685.86
  5. Step 5: Solve for x
    x = 42,685.86/290.38
  6. Step 6: Final answer
    x = 147

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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.