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Finding the Fourth Proportional to 305.48, 420.48 and 276.32

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Solution

The fourth proportional to 305.48, 420.48 and 276.32 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 420.48 = 276.32 : x
  2. Step 2: Convert to fraction form
    305.48/420.48 = 276.32/x
  3. Step 3: Cross multiply
    305.48x = 420.48 × 276.32
  4. Step 4: Simplify right side
    305.48x = 116,187.03
  5. Step 5: Solve for x
    x = 116,187.03/305.48
  6. Step 6: Final answer
    x = 380.34

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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.