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Finding the Fourth Proportional to 302.21, 453.30 and 180.71

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Solution

The fourth proportional to 302.21, 453.30 and 180.71 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.21 : 453.30 = 180.71 : x
  2. Step 2: Convert to fraction form
    302.21/453.30 = 180.71/x
  3. Step 3: Cross multiply
    302.21x = 453.30 × 180.71
  4. Step 4: Simplify right side
    302.21x = 81,913.58
  5. Step 5: Solve for x
    x = 81,913.58/302.21
  6. Step 6: Final answer
    x = 271.05

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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.