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Finding the Fourth Proportional to 341.36, 514.34 and 281.82

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Solution

The fourth proportional to 341.36, 514.34 and 281.82 is: 424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.36 : 514.34 = 281.82 : x
  2. Step 2: Convert to fraction form
    341.36/514.34 = 281.82/x
  3. Step 3: Cross multiply
    341.36x = 514.34 × 281.82
  4. Step 4: Simplify right side
    341.36x = 144,949.89
  5. Step 5: Solve for x
    x = 144,949.89/341.36
  6. Step 6: Final answer
    x = 424.63

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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.