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Finding the Fourth Proportional to 154.77, 230.65 and 145.88

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Solution

The fourth proportional to 154.77, 230.65 and 145.88 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 230.65 = 145.88 : x
  2. Step 2: Convert to fraction form
    154.77/230.65 = 145.88/x
  3. Step 3: Cross multiply
    154.77x = 230.65 × 145.88
  4. Step 4: Simplify right side
    154.77x = 33,647.22
  5. Step 5: Solve for x
    x = 33,647.22/154.77
  6. Step 6: Final answer
    x = 217.40

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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.