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Finding the Fourth Proportional to 441.65, 609.59 and 267.01

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Solution

The fourth proportional to 441.65, 609.59 and 267.01 is: 368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.65 : 609.59 = 267.01 : x
  2. Step 2: Convert to fraction form
    441.65/609.59 = 267.01/x
  3. Step 3: Cross multiply
    441.65x = 609.59 × 267.01
  4. Step 4: Simplify right side
    441.65x = 162,765.77
  5. Step 5: Solve for x
    x = 162,765.77/441.65
  6. Step 6: Final answer
    x = 368.54

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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.