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Finding the Fourth Proportional to 152.64, 229.77 and 118.56

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Solution

The fourth proportional to 152.64, 229.77 and 118.56 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 229.77 = 118.56 : x
  2. Step 2: Convert to fraction form
    152.64/229.77 = 118.56/x
  3. Step 3: Cross multiply
    152.64x = 229.77 × 118.56
  4. Step 4: Simplify right side
    152.64x = 27,241.53
  5. Step 5: Solve for x
    x = 27,241.53/152.64
  6. Step 6: Final answer
    x = 178.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.