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Finding the Fourth Proportional to 240.77, 332.34 and 153.42

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Solution

The fourth proportional to 240.77, 332.34 and 153.42 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.77 : 332.34 = 153.42 : x
  2. Step 2: Convert to fraction form
    240.77/332.34 = 153.42/x
  3. Step 3: Cross multiply
    240.77x = 332.34 × 153.42
  4. Step 4: Simplify right side
    240.77x = 50,987.60
  5. Step 5: Solve for x
    x = 50,987.60/240.77
  6. Step 6: Final answer
    x = 211.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.