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Finding the Fourth Proportional to 397.20, 547.56 and 304.08

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Solution

The fourth proportional to 397.20, 547.56 and 304.08 is: 419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 547.56 = 304.08 : x
  2. Step 2: Convert to fraction form
    397.20/547.56 = 304.08/x
  3. Step 3: Cross multiply
    397.20x = 547.56 × 304.08
  4. Step 4: Simplify right side
    397.20x = 166,502.04
  5. Step 5: Solve for x
    x = 166,502.04/397.20
  6. Step 6: Final answer
    x = 419.19

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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.