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Finding the Fourth Proportional to 253, 349.44 and 209.80

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Solution

The fourth proportional to 253, 349.44 and 209.80 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 349.44 = 209.80 : x
  2. Step 2: Convert to fraction form
    253/349.44 = 209.80/x
  3. Step 3: Cross multiply
    253x = 349.44 × 209.80
  4. Step 4: Simplify right side
    253x = 73,312.51
  5. Step 5: Solve for x
    x = 73,312.51/253
  6. Step 6: Final answer
    x = 289.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.