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Finding the Fourth Proportional to 382.95, 528.26 and 313.07

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Solution

The fourth proportional to 382.95, 528.26 and 313.07 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 528.26 = 313.07 : x
  2. Step 2: Convert to fraction form
    382.95/528.26 = 313.07/x
  3. Step 3: Cross multiply
    382.95x = 528.26 × 313.07
  4. Step 4: Simplify right side
    382.95x = 165,378.15
  5. Step 5: Solve for x
    x = 165,378.15/382.95
  6. Step 6: Final answer
    x = 431.85

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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.