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Finding the Fourth Proportional to 302.84, 452.13 and 274.13

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Solution

The fourth proportional to 302.84, 452.13 and 274.13 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 452.13 = 274.13 : x
  2. Step 2: Convert to fraction form
    302.84/452.13 = 274.13/x
  3. Step 3: Cross multiply
    302.84x = 452.13 × 274.13
  4. Step 4: Simplify right side
    302.84x = 123,944.89
  5. Step 5: Solve for x
    x = 123,944.89/302.84
  6. Step 6: Final answer
    x = 409.28

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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.