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Finding the Fourth Proportional to 581.22, 802.09 and 319.24

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Solution

The fourth proportional to 581.22, 802.09 and 319.24 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 802.09 = 319.24 : x
  2. Step 2: Convert to fraction form
    581.22/802.09 = 319.24/x
  3. Step 3: Cross multiply
    581.22x = 802.09 × 319.24
  4. Step 4: Simplify right side
    581.22x = 256,059.21
  5. Step 5: Solve for x
    x = 256,059.21/581.22
  6. Step 6: Final answer
    x = 440.55

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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.