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Finding the Fourth Proportional to 491.80, 678.70 and 270.77

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Solution

The fourth proportional to 491.80, 678.70 and 270.77 is: 373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.80 : 678.70 = 270.77 : x
  2. Step 2: Convert to fraction form
    491.80/678.70 = 270.77/x
  3. Step 3: Cross multiply
    491.80x = 678.70 × 270.77
  4. Step 4: Simplify right side
    491.80x = 183,771.60
  5. Step 5: Solve for x
    x = 183,771.60/491.80
  6. Step 6: Final answer
    x = 373.67

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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.