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Finding the Fourth Proportional to 419.85, 580.01 and 358.31

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Solution

The fourth proportional to 419.85, 580.01 and 358.31 is: 494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.85 : 580.01 = 358.31 : x
  2. Step 2: Convert to fraction form
    419.85/580.01 = 358.31/x
  3. Step 3: Cross multiply
    419.85x = 580.01 × 358.31
  4. Step 4: Simplify right side
    419.85x = 207,823.38
  5. Step 5: Solve for x
    x = 207,823.38/419.85
  6. Step 6: Final answer
    x = 494.99

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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.