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Finding the Fourth Proportional to 341.30, 513.80 and 311.06

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Solution

The fourth proportional to 341.30, 513.80 and 311.06 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.30 : 513.80 = 311.06 : x
  2. Step 2: Convert to fraction form
    341.30/513.80 = 311.06/x
  3. Step 3: Cross multiply
    341.30x = 513.80 × 311.06
  4. Step 4: Simplify right side
    341.30x = 159,822.63
  5. Step 5: Solve for x
    x = 159,822.63/341.30
  6. Step 6: Final answer
    x = 468.28

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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.