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Finding the Fourth Proportional to 340.37, 511.14 and 211.14

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Solution

The fourth proportional to 340.37, 511.14 and 211.14 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.37 : 511.14 = 211.14 : x
  2. Step 2: Convert to fraction form
    340.37/511.14 = 211.14/x
  3. Step 3: Cross multiply
    340.37x = 511.14 × 211.14
  4. Step 4: Simplify right side
    340.37x = 107,922.10
  5. Step 5: Solve for x
    x = 107,922.10/340.37
  6. Step 6: Final answer
    x = 317.08

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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.