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Finding the Fourth Proportional to 389.18, 580.71 and 348.32

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Solution

The fourth proportional to 389.18, 580.71 and 348.32 is: 519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.18 : 580.71 = 348.32 : x
  2. Step 2: Convert to fraction form
    389.18/580.71 = 348.32/x
  3. Step 3: Cross multiply
    389.18x = 580.71 × 348.32
  4. Step 4: Simplify right side
    389.18x = 202,272.91
  5. Step 5: Solve for x
    x = 202,272.91/389.18
  6. Step 6: Final answer
    x = 519.74

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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.