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Finding the Fourth Proportional to 152.88, 230.46 and 146.70

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Solution

The fourth proportional to 152.88, 230.46 and 146.70 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 230.46 = 146.70 : x
  2. Step 2: Convert to fraction form
    152.88/230.46 = 146.70/x
  3. Step 3: Cross multiply
    152.88x = 230.46 × 146.70
  4. Step 4: Simplify right side
    152.88x = 33,808.48
  5. Step 5: Solve for x
    x = 33,808.48/152.88
  6. Step 6: Final answer
    x = 221.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.