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Finding the Fourth Proportional to 153.90, 213.48 and 148.72

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Solution

The fourth proportional to 153.90, 213.48 and 148.72 is: 206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.90 : 213.48 = 148.72 : x
  2. Step 2: Convert to fraction form
    153.90/213.48 = 148.72/x
  3. Step 3: Cross multiply
    153.90x = 213.48 × 148.72
  4. Step 4: Simplify right side
    153.90x = 31,748.75
  5. Step 5: Solve for x
    x = 31,748.75/153.90
  6. Step 6: Final answer
    x = 206.29

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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.