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Finding the Fourth Proportional to 341.06, 511.23 and 158.30

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Solution

The fourth proportional to 341.06, 511.23 and 158.30 is: 237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 511.23 = 158.30 : x
  2. Step 2: Convert to fraction form
    341.06/511.23 = 158.30/x
  3. Step 3: Cross multiply
    341.06x = 511.23 × 158.30
  4. Step 4: Simplify right side
    341.06x = 80,929.65
  5. Step 5: Solve for x
    x = 80,929.65/341.06
  6. Step 6: Final answer
    x = 237.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.