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Finding the Fourth Proportional to 302.80, 453.02 and 262.66

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Solution

The fourth proportional to 302.80, 453.02 and 262.66 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 453.02 = 262.66 : x
  2. Step 2: Convert to fraction form
    302.80/453.02 = 262.66/x
  3. Step 3: Cross multiply
    302.80x = 453.02 × 262.66
  4. Step 4: Simplify right side
    302.80x = 118,989.76
  5. Step 5: Solve for x
    x = 118,989.76/302.80
  6. Step 6: Final answer
    x = 392.97

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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.