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Finding the Fourth Proportional to 340.68, 511.20 and 301.80

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Solution

The fourth proportional to 340.68, 511.20 and 301.80 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.68 : 511.20 = 301.80 : x
  2. Step 2: Convert to fraction form
    340.68/511.20 = 301.80/x
  3. Step 3: Cross multiply
    340.68x = 511.20 × 301.80
  4. Step 4: Simplify right side
    340.68x = 154,280.16
  5. Step 5: Solve for x
    x = 154,280.16/340.68
  6. Step 6: Final answer
    x = 452.86

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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.