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Finding the Fourth Proportional to 290.22, 437.56 and 270.41

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Solution

The fourth proportional to 290.22, 437.56 and 270.41 is: 407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.22 : 437.56 = 270.41 : x
  2. Step 2: Convert to fraction form
    290.22/437.56 = 270.41/x
  3. Step 3: Cross multiply
    290.22x = 437.56 × 270.41
  4. Step 4: Simplify right side
    290.22x = 118,317.74
  5. Step 5: Solve for x
    x = 118,317.74/290.22
  6. Step 6: Final answer
    x = 407.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.