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Finding the Fourth Proportional to 302.94, 453.06 and 261.90

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Solution

The fourth proportional to 302.94, 453.06 and 261.90 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 453.06 = 261.90 : x
  2. Step 2: Convert to fraction form
    302.94/453.06 = 261.90/x
  3. Step 3: Cross multiply
    302.94x = 453.06 × 261.90
  4. Step 4: Simplify right side
    302.94x = 118,656.41
  5. Step 5: Solve for x
    x = 118,656.41/302.94
  6. Step 6: Final answer
    x = 391.68

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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.