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Finding the Fourth Proportional to 491.21, 677.80 and 270.15

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Solution

The fourth proportional to 491.21, 677.80 and 270.15 is: 372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.21 : 677.80 = 270.15 : x
  2. Step 2: Convert to fraction form
    491.21/677.80 = 270.15/x
  3. Step 3: Cross multiply
    491.21x = 677.80 × 270.15
  4. Step 4: Simplify right side
    491.21x = 183,107.67
  5. Step 5: Solve for x
    x = 183,107.67/491.21
  6. Step 6: Final answer
    x = 372.77

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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.