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Finding the Fourth Proportional to 548.11, 756.55 and 312.19

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Solution

The fourth proportional to 548.11, 756.55 and 312.19 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.11 : 756.55 = 312.19 : x
  2. Step 2: Convert to fraction form
    548.11/756.55 = 312.19/x
  3. Step 3: Cross multiply
    548.11x = 756.55 × 312.19
  4. Step 4: Simplify right side
    548.11x = 236,185.84
  5. Step 5: Solve for x
    x = 236,185.84/548.11
  6. Step 6: Final answer
    x = 430.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.