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Finding the Fourth Proportional to 153.76, 210.92 and 148.54

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Solution

The fourth proportional to 153.76, 210.92 and 148.54 is: 203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 210.92 = 148.54 : x
  2. Step 2: Convert to fraction form
    153.76/210.92 = 148.54/x
  3. Step 3: Cross multiply
    153.76x = 210.92 × 148.54
  4. Step 4: Simplify right side
    153.76x = 31,330.06
  5. Step 5: Solve for x
    x = 31,330.06/153.76
  6. Step 6: Final answer
    x = 203.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.