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Finding the Fourth Proportional to 302.37, 453.36 and 129.15

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Solution

The fourth proportional to 302.37, 453.36 and 129.15 is: 193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 453.36 = 129.15 : x
  2. Step 2: Convert to fraction form
    302.37/453.36 = 129.15/x
  3. Step 3: Cross multiply
    302.37x = 453.36 × 129.15
  4. Step 4: Simplify right side
    302.37x = 58,551.44
  5. Step 5: Solve for x
    x = 58,551.44/302.37
  6. Step 6: Final answer
    x = 193.64

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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.