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Finding the Fourth Proportional to 389.07, 580.00 and 359.91

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Solution

The fourth proportional to 389.07, 580.00 and 359.91 is: 536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.07 : 580.00 = 359.91 : x
  2. Step 2: Convert to fraction form
    389.07/580.00 = 359.91/x
  3. Step 3: Cross multiply
    389.07x = 580.00 × 359.91
  4. Step 4: Simplify right side
    389.07x = 208,747.58
  5. Step 5: Solve for x
    x = 208,747.58/389.07
  6. Step 6: Final answer
    x = 536.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.