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Finding the Fourth Proportional to 341.84, 515.66 and 341.12

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Solution

The fourth proportional to 341.84, 515.66 and 341.12 is: 514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 515.66 = 341.12 : x
  2. Step 2: Convert to fraction form
    341.84/515.66 = 341.12/x
  3. Step 3: Cross multiply
    341.84x = 515.66 × 341.12
  4. Step 4: Simplify right side
    341.84x = 175,901.94
  5. Step 5: Solve for x
    x = 175,901.94/341.84
  6. Step 6: Final answer
    x = 514.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.