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Finding the Fourth Proportional to 290.70, 433.50 and 267.06

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Solution

The fourth proportional to 290.70, 433.50 and 267.06 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 433.50 = 267.06 : x
  2. Step 2: Convert to fraction form
    290.70/433.50 = 267.06/x
  3. Step 3: Cross multiply
    290.70x = 433.50 × 267.06
  4. Step 4: Simplify right side
    290.70x = 115,770.51
  5. Step 5: Solve for x
    x = 115,770.51/290.70
  6. Step 6: Final answer
    x = 398.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.