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Finding the Fourth Proportional to 183.74, 253.53 and 147.15

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Solution

The fourth proportional to 183.74, 253.53 and 147.15 is: 203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.53 = 147.15 : x
  2. Step 2: Convert to fraction form
    183.74/253.53 = 147.15/x
  3. Step 3: Cross multiply
    183.74x = 253.53 × 147.15
  4. Step 4: Simplify right side
    183.74x = 37,306.94
  5. Step 5: Solve for x
    x = 37,306.94/183.74
  6. Step 6: Final answer
    x = 203.05

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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.