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Finding the Fourth Proportional to 548.19, 756.47 and 312.11

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Solution

The fourth proportional to 548.19, 756.47 and 312.11 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 756.47 = 312.11 : x
  2. Step 2: Convert to fraction form
    548.19/756.47 = 312.11/x
  3. Step 3: Cross multiply
    548.19x = 756.47 × 312.11
  4. Step 4: Simplify right side
    548.19x = 236,101.85
  5. Step 5: Solve for x
    x = 236,101.85/548.19
  6. Step 6: Final answer
    x = 430.69

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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.