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Finding the Fourth Proportional to 365.84, 551.38 and 348.28

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Solution

The fourth proportional to 365.84, 551.38 and 348.28 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 551.38 = 348.28 : x
  2. Step 2: Convert to fraction form
    365.84/551.38 = 348.28/x
  3. Step 3: Cross multiply
    365.84x = 551.38 × 348.28
  4. Step 4: Simplify right side
    365.84x = 192,034.63
  5. Step 5: Solve for x
    x = 192,034.63/365.84
  6. Step 6: Final answer
    x = 524.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.