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Finding the Fourth Proportional to 277.68, 417.36 and 224.24

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Solution

The fourth proportional to 277.68, 417.36 and 224.24 is: 337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 417.36 = 224.24 : x
  2. Step 2: Convert to fraction form
    277.68/417.36 = 224.24/x
  3. Step 3: Cross multiply
    277.68x = 417.36 × 224.24
  4. Step 4: Simplify right side
    277.68x = 93,588.81
  5. Step 5: Solve for x
    x = 93,588.81/277.68
  6. Step 6: Final answer
    x = 337.04

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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.