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Finding the Fourth Proportional to 183.40, 279.93 and 183.40

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Solution

The fourth proportional to 183.40, 279.93 and 183.40 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.40 : 279.93 = 183.40 : x
  2. Step 2: Convert to fraction form
    183.40/279.93 = 183.40/x
  3. Step 3: Cross multiply
    183.40x = 279.93 × 183.40
  4. Step 4: Simplify right side
    183.40x = 51,339.16
  5. Step 5: Solve for x
    x = 51,339.16/183.40
  6. Step 6: Final answer
    x = 279.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.