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Finding the Fourth Proportional to 435.38, 651.81 and 290.84

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Solution

The fourth proportional to 435.38, 651.81 and 290.84 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 651.81 = 290.84 : x
  2. Step 2: Convert to fraction form
    435.38/651.81 = 290.84/x
  3. Step 3: Cross multiply
    435.38x = 651.81 × 290.84
  4. Step 4: Simplify right side
    435.38x = 189,572.42
  5. Step 5: Solve for x
    x = 189,572.42/435.38
  6. Step 6: Final answer
    x = 435.42

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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.