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Finding the Fourth Proportional to 253.92, 381.00 and 117.06

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Solution

The fourth proportional to 253.92, 381.00 and 117.06 is: 175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 381.00 = 117.06 : x
  2. Step 2: Convert to fraction form
    253.92/381.00 = 117.06/x
  3. Step 3: Cross multiply
    253.92x = 381.00 × 117.06
  4. Step 4: Simplify right side
    253.92x = 44,600.77
  5. Step 5: Solve for x
    x = 44,600.77/253.92
  6. Step 6: Final answer
    x = 175.65

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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.