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Finding the Fourth Proportional to 389, 580.48 and 337.16

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Solution

The fourth proportional to 389, 580.48 and 337.16 is: 503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389 : 580.48 = 337.16 : x
  2. Step 2: Convert to fraction form
    389/580.48 = 337.16/x
  3. Step 3: Cross multiply
    389x = 580.48 × 337.16
  4. Step 4: Simplify right side
    389x = 195,714.64
  5. Step 5: Solve for x
    x = 195,714.64/389
  6. Step 6: Final answer
    x = 503.12

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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.