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Finding the Fourth Proportional to 364.12, 499.40 and 349.24

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Solution

The fourth proportional to 364.12, 499.40 and 349.24 is: 478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.12 : 499.40 = 349.24 : x
  2. Step 2: Convert to fraction form
    364.12/499.40 = 349.24/x
  3. Step 3: Cross multiply
    364.12x = 499.40 × 349.24
  4. Step 4: Simplify right side
    364.12x = 174,410.46
  5. Step 5: Solve for x
    x = 174,410.46/364.12
  6. Step 6: Final answer
    x = 478.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.