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Finding the Fourth Proportional to 594.21, 891.31 and 269.19

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Solution

The fourth proportional to 594.21, 891.31 and 269.19 is: 403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.21 : 891.31 = 269.19 : x
  2. Step 2: Convert to fraction form
    594.21/891.31 = 269.19/x
  3. Step 3: Cross multiply
    594.21x = 891.31 × 269.19
  4. Step 4: Simplify right side
    594.21x = 239,931.74
  5. Step 5: Solve for x
    x = 239,931.74/594.21
  6. Step 6: Final answer
    x = 403.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.