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Finding the Fourth Proportional to 369.15, 509.23 and 299.29

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Solution

The fourth proportional to 369.15, 509.23 and 299.29 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.15 : 509.23 = 299.29 : x
  2. Step 2: Convert to fraction form
    369.15/509.23 = 299.29/x
  3. Step 3: Cross multiply
    369.15x = 509.23 × 299.29
  4. Step 4: Simplify right side
    369.15x = 152,404.90
  5. Step 5: Solve for x
    x = 152,404.90/369.15
  6. Step 6: Final answer
    x = 412.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.