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Finding the Fourth Proportional to 389.16, 580.55 and 348.12

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Solution

The fourth proportional to 389.16, 580.55 and 348.12 is: 519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 580.55 = 348.12 : x
  2. Step 2: Convert to fraction form
    389.16/580.55 = 348.12/x
  3. Step 3: Cross multiply
    389.16x = 580.55 × 348.12
  4. Step 4: Simplify right side
    389.16x = 202,099.33
  5. Step 5: Solve for x
    x = 202,099.33/389.16
  6. Step 6: Final answer
    x = 519.32

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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.