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Finding the Fourth Proportional to 362.71, 499.65 and 340.03

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Solution

The fourth proportional to 362.71, 499.65 and 340.03 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.71 : 499.65 = 340.03 : x
  2. Step 2: Convert to fraction form
    362.71/499.65 = 340.03/x
  3. Step 3: Cross multiply
    362.71x = 499.65 × 340.03
  4. Step 4: Simplify right side
    362.71x = 169,895.99
  5. Step 5: Solve for x
    x = 169,895.99/362.71
  6. Step 6: Final answer
    x = 468.41

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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.