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Finding the Fourth Proportional to 548.19, 821.34 and 304.11

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Solution

The fourth proportional to 548.19, 821.34 and 304.11 is: 455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 821.34 = 304.11 : x
  2. Step 2: Convert to fraction form
    548.19/821.34 = 304.11/x
  3. Step 3: Cross multiply
    548.19x = 821.34 × 304.11
  4. Step 4: Simplify right side
    548.19x = 249,777.71
  5. Step 5: Solve for x
    x = 249,777.71/548.19
  6. Step 6: Final answer
    x = 455.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.