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Finding the Fourth Proportional to 290.66, 398.00 and 288.63

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Solution

The fourth proportional to 290.66, 398.00 and 288.63 is: 395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 398.00 = 288.63 : x
  2. Step 2: Convert to fraction form
    290.66/398.00 = 288.63/x
  3. Step 3: Cross multiply
    290.66x = 398.00 × 288.63
  4. Step 4: Simplify right side
    290.66x = 114,873.84
  5. Step 5: Solve for x
    x = 114,873.84/290.66
  6. Step 6: Final answer
    x = 395.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.