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Finding the Fourth Proportional to 340.07, 511.13 and 299.07

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Solution

The fourth proportional to 340.07, 511.13 and 299.07 is: 449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.07 : 511.13 = 299.07 : x
  2. Step 2: Convert to fraction form
    340.07/511.13 = 299.07/x
  3. Step 3: Cross multiply
    340.07x = 511.13 × 299.07
  4. Step 4: Simplify right side
    340.07x = 152,864.40
  5. Step 5: Solve for x
    x = 152,864.40/340.07
  6. Step 6: Final answer
    x = 449.52

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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.