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Finding the Fourth Proportional to 277.93, 384.06 and 212.89

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Solution

The fourth proportional to 277.93, 384.06 and 212.89 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.93 : 384.06 = 212.89 : x
  2. Step 2: Convert to fraction form
    277.93/384.06 = 212.89/x
  3. Step 3: Cross multiply
    277.93x = 384.06 × 212.89
  4. Step 4: Simplify right side
    277.93x = 81,762.53
  5. Step 5: Solve for x
    x = 81,762.53/277.93
  6. Step 6: Final answer
    x = 294.18

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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.