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Finding the Fourth Proportional to 154.64, 230.28 and 152.93

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Solution

The fourth proportional to 154.64, 230.28 and 152.93 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 230.28 = 152.93 : x
  2. Step 2: Convert to fraction form
    154.64/230.28 = 152.93/x
  3. Step 3: Cross multiply
    154.64x = 230.28 × 152.93
  4. Step 4: Simplify right side
    154.64x = 35,216.72
  5. Step 5: Solve for x
    x = 35,216.72/154.64
  6. Step 6: Final answer
    x = 227.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.