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Finding the Fourth Proportional to 153.40, 213.07 and 148.84

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Solution

The fourth proportional to 153.40, 213.07 and 148.84 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.40 : 213.07 = 148.84 : x
  2. Step 2: Convert to fraction form
    153.40/213.07 = 148.84/x
  3. Step 3: Cross multiply
    153.40x = 213.07 × 148.84
  4. Step 4: Simplify right side
    153.40x = 31,713.34
  5. Step 5: Solve for x
    x = 31,713.34/153.40
  6. Step 6: Final answer
    x = 206.74

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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.