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Finding the Fourth Proportional to 340.02, 511.86 and 259.56

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Solution

The fourth proportional to 340.02, 511.86 and 259.56 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 511.86 = 259.56 : x
  2. Step 2: Convert to fraction form
    340.02/511.86 = 259.56/x
  3. Step 3: Cross multiply
    340.02x = 511.86 × 259.56
  4. Step 4: Simplify right side
    340.02x = 132,858.38
  5. Step 5: Solve for x
    x = 132,858.38/340.02
  6. Step 6: Final answer
    x = 390.74

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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.