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Finding the Fourth Proportional to 302.84, 452.67 and 262.17

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Solution

The fourth proportional to 302.84, 452.67 and 262.17 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 452.67 = 262.17 : x
  2. Step 2: Convert to fraction form
    302.84/452.67 = 262.17/x
  3. Step 3: Cross multiply
    302.84x = 452.67 × 262.17
  4. Step 4: Simplify right side
    302.84x = 118,676.49
  5. Step 5: Solve for x
    x = 118,676.49/302.84
  6. Step 6: Final answer
    x = 391.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.