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Finding the Fourth Proportional to 277.53, 417.72 and 209.40

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Solution

The fourth proportional to 277.53, 417.72 and 209.40 is: 315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 417.72 = 209.40 : x
  2. Step 2: Convert to fraction form
    277.53/417.72 = 209.40/x
  3. Step 3: Cross multiply
    277.53x = 417.72 × 209.40
  4. Step 4: Simplify right side
    277.53x = 87,470.57
  5. Step 5: Solve for x
    x = 87,470.57/277.53
  6. Step 6: Final answer
    x = 315.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.