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Finding the Fourth Proportional to 380.34, 573.10 and 313.36

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Solution

The fourth proportional to 380.34, 573.10 and 313.36 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 573.10 = 313.36 : x
  2. Step 2: Convert to fraction form
    380.34/573.10 = 313.36/x
  3. Step 3: Cross multiply
    380.34x = 573.10 × 313.36
  4. Step 4: Simplify right side
    380.34x = 179,584.40
  5. Step 5: Solve for x
    x = 179,584.40/380.34
  6. Step 6: Final answer
    x = 472.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.