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Finding the Fourth Proportional to 362.45, 499.02 and 307.10

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Solution

The fourth proportional to 362.45, 499.02 and 307.10 is: 422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.45 : 499.02 = 307.10 : x
  2. Step 2: Convert to fraction form
    362.45/499.02 = 307.10/x
  3. Step 3: Cross multiply
    362.45x = 499.02 × 307.10
  4. Step 4: Simplify right side
    362.45x = 153,249.04
  5. Step 5: Solve for x
    x = 153,249.04/362.45
  6. Step 6: Final answer
    x = 422.81

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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.