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Finding the Fourth Proportional to 594.40, 890.40 and 269.32

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Solution

The fourth proportional to 594.40, 890.40 and 269.32 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.40 : 890.40 = 269.32 : x
  2. Step 2: Convert to fraction form
    594.40/890.40 = 269.32/x
  3. Step 3: Cross multiply
    594.40x = 890.40 × 269.32
  4. Step 4: Simplify right side
    594.40x = 239,802.53
  5. Step 5: Solve for x
    x = 239,802.53/594.40
  6. Step 6: Final answer
    x = 403.44

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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.