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Finding the Fourth Proportional to 369.58, 551.32 and 343.38

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Solution

The fourth proportional to 369.58, 551.32 and 343.38 is: 512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.58 : 551.32 = 343.38 : x
  2. Step 2: Convert to fraction form
    369.58/551.32 = 343.38/x
  3. Step 3: Cross multiply
    369.58x = 551.32 × 343.38
  4. Step 4: Simplify right side
    369.58x = 189,312.26
  5. Step 5: Solve for x
    x = 189,312.26/369.58
  6. Step 6: Final answer
    x = 512.24

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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.