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Finding the Fourth Proportional to 183.57, 253.35 and 121.47

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Solution

The fourth proportional to 183.57, 253.35 and 121.47 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.57 : 253.35 = 121.47 : x
  2. Step 2: Convert to fraction form
    183.57/253.35 = 121.47/x
  3. Step 3: Cross multiply
    183.57x = 253.35 × 121.47
  4. Step 4: Simplify right side
    183.57x = 30,774.42
  5. Step 5: Solve for x
    x = 30,774.42/183.57
  6. Step 6: Final answer
    x = 167.64

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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.