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Finding the Fourth Proportional to 155.51, 213.47 and 133.64

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Solution

The fourth proportional to 155.51, 213.47 and 133.64 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.51 : 213.47 = 133.64 : x
  2. Step 2: Convert to fraction form
    155.51/213.47 = 133.64/x
  3. Step 3: Cross multiply
    155.51x = 213.47 × 133.64
  4. Step 4: Simplify right side
    155.51x = 28,526.40
  5. Step 5: Solve for x
    x = 28,526.40/155.51
  6. Step 6: Final answer
    x = 183.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.