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Finding the Fourth Proportional to 340.69, 511.55 and 263.81

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Solution

The fourth proportional to 340.69, 511.55 and 263.81 is: 396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 511.55 = 263.81 : x
  2. Step 2: Convert to fraction form
    340.69/511.55 = 263.81/x
  3. Step 3: Cross multiply
    340.69x = 511.55 × 263.81
  4. Step 4: Simplify right side
    340.69x = 134,951.19
  5. Step 5: Solve for x
    x = 134,951.19/340.69
  6. Step 6: Final answer
    x = 396.11

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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.