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Finding the Fourth Proportional to 337, 503.21 and 275.98

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Solution

The fourth proportional to 337, 503.21 and 275.98 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    337 : 503.21 = 275.98 : x
  2. Step 2: Convert to fraction form
    337/503.21 = 275.98/x
  3. Step 3: Cross multiply
    337x = 503.21 × 275.98
  4. Step 4: Simplify right side
    337x = 138,875.90
  5. Step 5: Solve for x
    x = 138,875.90/337
  6. Step 6: Final answer
    x = 412.09

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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.