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Finding the Fourth Proportional to 277.76, 383.43 and 207.93

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Solution

The fourth proportional to 277.76, 383.43 and 207.93 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 383.43 = 207.93 : x
  2. Step 2: Convert to fraction form
    277.76/383.43 = 207.93/x
  3. Step 3: Cross multiply
    277.76x = 383.43 × 207.93
  4. Step 4: Simplify right side
    277.76x = 79,726.60
  5. Step 5: Solve for x
    x = 79,726.60/277.76
  6. Step 6: Final answer
    x = 287.04

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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.