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Finding the Fourth Proportional to 253.99, 381.08 and 117.04

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Solution

The fourth proportional to 253.99, 381.08 and 117.04 is: 175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 381.08 = 117.04 : x
  2. Step 2: Convert to fraction form
    253.99/381.08 = 117.04/x
  3. Step 3: Cross multiply
    253.99x = 381.08 × 117.04
  4. Step 4: Simplify right side
    253.99x = 44,601.02
  5. Step 5: Solve for x
    x = 44,601.02/253.99
  6. Step 6: Final answer
    x = 175.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.