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Finding the Fourth Proportional to 290.15, 399.98 and 191.74

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Solution

The fourth proportional to 290.15, 399.98 and 191.74 is: 264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.15 : 399.98 = 191.74 : x
  2. Step 2: Convert to fraction form
    290.15/399.98 = 191.74/x
  3. Step 3: Cross multiply
    290.15x = 399.98 × 191.74
  4. Step 4: Simplify right side
    290.15x = 76,689.21
  5. Step 5: Solve for x
    x = 76,689.21/290.15
  6. Step 6: Final answer
    x = 264.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.