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Finding the Fourth Proportional to 419.88, 580.28 and 362.64

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Solution

The fourth proportional to 419.88, 580.28 and 362.64 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 580.28 = 362.64 : x
  2. Step 2: Convert to fraction form
    419.88/580.28 = 362.64/x
  3. Step 3: Cross multiply
    419.88x = 580.28 × 362.64
  4. Step 4: Simplify right side
    419.88x = 210,432.74
  5. Step 5: Solve for x
    x = 210,432.74/419.88
  6. Step 6: Final answer
    x = 501.17

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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.