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Finding the Fourth Proportional to 581.21, 802.10 and 319.23

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Solution

The fourth proportional to 581.21, 802.10 and 319.23 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.21 : 802.10 = 319.23 : x
  2. Step 2: Convert to fraction form
    581.21/802.10 = 319.23/x
  3. Step 3: Cross multiply
    581.21x = 802.10 × 319.23
  4. Step 4: Simplify right side
    581.21x = 256,054.38
  5. Step 5: Solve for x
    x = 256,054.38/581.21
  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.