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Finding the Fourth Proportional to 341.07, 511.83 and 339.81

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Solution

The fourth proportional to 341.07, 511.83 and 339.81 is: 509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.07 : 511.83 = 339.81 : x
  2. Step 2: Convert to fraction form
    341.07/511.83 = 339.81/x
  3. Step 3: Cross multiply
    341.07x = 511.83 × 339.81
  4. Step 4: Simplify right side
    341.07x = 173,923.25
  5. Step 5: Solve for x
    x = 173,923.25/341.07
  6. Step 6: Final answer
    x = 509.93

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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.