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Finding the Fourth Proportional to 369.66, 551.76 and 277.93

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Solution

The fourth proportional to 369.66, 551.76 and 277.93 is: 414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.66 : 551.76 = 277.93 : x
  2. Step 2: Convert to fraction form
    369.66/551.76 = 277.93/x
  3. Step 3: Cross multiply
    369.66x = 551.76 × 277.93
  4. Step 4: Simplify right side
    369.66x = 153,351.87
  5. Step 5: Solve for x
    x = 153,351.87/369.66
  6. Step 6: Final answer
    x = 414.84

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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.