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Finding the Fourth Proportional to 183.51, 253.29 and 113.63

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Solution

The fourth proportional to 183.51, 253.29 and 113.63 is: 156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 253.29 = 113.63 : x
  2. Step 2: Convert to fraction form
    183.51/253.29 = 113.63/x
  3. Step 3: Cross multiply
    183.51x = 253.29 × 113.63
  4. Step 4: Simplify right side
    183.51x = 28,781.34
  5. Step 5: Solve for x
    x = 28,781.34/183.51
  6. Step 6: Final answer
    x = 156.84

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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.