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Finding the Fourth Proportional to 154.51, 213.04 and 134.77

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Solution

The fourth proportional to 154.51, 213.04 and 134.77 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.51 : 213.04 = 134.77 : x
  2. Step 2: Convert to fraction form
    154.51/213.04 = 134.77/x
  3. Step 3: Cross multiply
    154.51x = 213.04 × 134.77
  4. Step 4: Simplify right side
    154.51x = 28,711.40
  5. Step 5: Solve for x
    x = 28,711.40/154.51
  6. Step 6: Final answer
    x = 185.82

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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.