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Finding the Fourth Proportional to 301.20, 452.04 and 237.20

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Solution

The fourth proportional to 301.20, 452.04 and 237.20 is: 355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 452.04 = 237.20 : x
  2. Step 2: Convert to fraction form
    301.20/452.04 = 237.20/x
  3. Step 3: Cross multiply
    301.20x = 452.04 × 237.20
  4. Step 4: Simplify right side
    301.20x = 107,223.89
  5. Step 5: Solve for x
    x = 107,223.89/301.20
  6. Step 6: Final answer
    x = 355.99

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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.