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Finding the Fourth Proportional to 369.34, 509.38 and 264.45

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Solution

The fourth proportional to 369.34, 509.38 and 264.45 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.34 : 509.38 = 264.45 : x
  2. Step 2: Convert to fraction form
    369.34/509.38 = 264.45/x
  3. Step 3: Cross multiply
    369.34x = 509.38 × 264.45
  4. Step 4: Simplify right side
    369.34x = 134,705.54
  5. Step 5: Solve for x
    x = 134,705.54/369.34
  6. Step 6: Final answer
    x = 364.72

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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.