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Finding the Fourth Proportional to 314.96, 435.47 and 276.03

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Solution

The fourth proportional to 314.96, 435.47 and 276.03 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.96 : 435.47 = 276.03 : x
  2. Step 2: Convert to fraction form
    314.96/435.47 = 276.03/x
  3. Step 3: Cross multiply
    314.96x = 435.47 × 276.03
  4. Step 4: Simplify right side
    314.96x = 120,201.40
  5. Step 5: Solve for x
    x = 120,201.40/314.96
  6. Step 6: Final answer
    x = 381.65

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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.