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Finding the Fourth Proportional to 499.85, 750.07 and 211.29

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Solution

The fourth proportional to 499.85, 750.07 and 211.29 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.85 : 750.07 = 211.29 : x
  2. Step 2: Convert to fraction form
    499.85/750.07 = 211.29/x
  3. Step 3: Cross multiply
    499.85x = 750.07 × 211.29
  4. Step 4: Simplify right side
    499.85x = 158,482.29
  5. Step 5: Solve for x
    x = 158,482.29/499.85
  6. Step 6: Final answer
    x = 317.06

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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.