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Finding the Fourth Proportional to 373.87, 560.34 and 209.28

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Solution

The fourth proportional to 373.87, 560.34 and 209.28 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.87 : 560.34 = 209.28 : x
  2. Step 2: Convert to fraction form
    373.87/560.34 = 209.28/x
  3. Step 3: Cross multiply
    373.87x = 560.34 × 209.28
  4. Step 4: Simplify right side
    373.87x = 117,270.65
  5. Step 5: Solve for x
    x = 117,270.65/373.87
  6. Step 6: Final answer
    x = 313.67

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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.