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Finding the Fourth Proportional to 253.99, 349.84 and 180.17

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Solution

The fourth proportional to 253.99, 349.84 and 180.17 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 349.84 = 180.17 : x
  2. Step 2: Convert to fraction form
    253.99/349.84 = 180.17/x
  3. Step 3: Cross multiply
    253.99x = 349.84 × 180.17
  4. Step 4: Simplify right side
    253.99x = 63,030.67
  5. Step 5: Solve for x
    x = 63,030.67/253.99
  6. Step 6: Final answer
    x = 248.16

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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.