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Finding the Fourth Proportional to 491.16, 677.80 and 270.11

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Solution

The fourth proportional to 491.16, 677.80 and 270.11 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.16 : 677.80 = 270.11 : x
  2. Step 2: Convert to fraction form
    491.16/677.80 = 270.11/x
  3. Step 3: Cross multiply
    491.16x = 677.80 × 270.11
  4. Step 4: Simplify right side
    491.16x = 183,080.56
  5. Step 5: Solve for x
    x = 183,080.56/491.16
  6. Step 6: Final answer
    x = 372.75

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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.