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Finding the Fourth Proportional to 328.15, 452.03 and 304.52

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Solution

The fourth proportional to 328.15, 452.03 and 304.52 is: 419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.15 : 452.03 = 304.52 : x
  2. Step 2: Convert to fraction form
    328.15/452.03 = 304.52/x
  3. Step 3: Cross multiply
    328.15x = 452.03 × 304.52
  4. Step 4: Simplify right side
    328.15x = 137,652.18
  5. Step 5: Solve for x
    x = 137,652.18/328.15
  6. Step 6: Final answer
    x = 419.48

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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.