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Finding the Fourth Proportional to 369.76, 552.61 and 340.57

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Solution

The fourth proportional to 369.76, 552.61 and 340.57 is: 508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 552.61 = 340.57 : x
  2. Step 2: Convert to fraction form
    369.76/552.61 = 340.57/x
  3. Step 3: Cross multiply
    369.76x = 552.61 × 340.57
  4. Step 4: Simplify right side
    369.76x = 188,202.39
  5. Step 5: Solve for x
    x = 188,202.39/369.76
  6. Step 6: Final answer
    x = 508.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.