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Finding the Fourth Proportional to 277.52, 415.68 and 209.16

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Solution

The fourth proportional to 277.52, 415.68 and 209.16 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 415.68 = 209.16 : x
  2. Step 2: Convert to fraction form
    277.52/415.68 = 209.16/x
  3. Step 3: Cross multiply
    277.52x = 415.68 × 209.16
  4. Step 4: Simplify right side
    277.52x = 86,943.63
  5. Step 5: Solve for x
    x = 86,943.63/277.52
  6. Step 6: Final answer
    x = 313.29

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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.