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Finding the Fourth Proportional to 277.92, 417.13 and 175.39

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Solution

The fourth proportional to 277.92, 417.13 and 175.39 is: 263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 417.13 = 175.39 : x
  2. Step 2: Convert to fraction form
    277.92/417.13 = 175.39/x
  3. Step 3: Cross multiply
    277.92x = 417.13 × 175.39
  4. Step 4: Simplify right side
    277.92x = 73,160.43
  5. Step 5: Solve for x
    x = 73,160.43/277.92
  6. Step 6: Final answer
    x = 263.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.