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Finding the Fourth Proportional to 153.84, 213.31 and 148.70

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Solution

The fourth proportional to 153.84, 213.31 and 148.70 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 213.31 = 148.70 : x
  2. Step 2: Convert to fraction form
    153.84/213.31 = 148.70/x
  3. Step 3: Cross multiply
    153.84x = 213.31 × 148.70
  4. Step 4: Simplify right side
    153.84x = 31,719.20
  5. Step 5: Solve for x
    x = 31,719.20/153.84
  6. Step 6: Final answer
    x = 206.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.