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Finding the Fourth Proportional to 290.12, 397.17 and 288.10

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Solution

The fourth proportional to 290.12, 397.17 and 288.10 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 397.17 = 288.10 : x
  2. Step 2: Convert to fraction form
    290.12/397.17 = 288.10/x
  3. Step 3: Cross multiply
    290.12x = 397.17 × 288.10
  4. Step 4: Simplify right side
    290.12x = 114,423.68
  5. Step 5: Solve for x
    x = 114,423.68/290.12
  6. Step 6: Final answer
    x = 394.40

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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.