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Finding the Fourth Proportional to 302.14, 453.28 and 137.54

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Solution

The fourth proportional to 302.14, 453.28 and 137.54 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.14 : 453.28 = 137.54 : x
  2. Step 2: Convert to fraction form
    302.14/453.28 = 137.54/x
  3. Step 3: Cross multiply
    302.14x = 453.28 × 137.54
  4. Step 4: Simplify right side
    302.14x = 62,344.13
  5. Step 5: Solve for x
    x = 62,344.13/302.14
  6. Step 6: Final answer
    x = 206.34

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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.