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Finding the Fourth Proportional to 152.64, 229.80 and 118.59

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Solution

The fourth proportional to 152.64, 229.80 and 118.59 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 229.80 = 118.59 : x
  2. Step 2: Convert to fraction form
    152.64/229.80 = 118.59/x
  3. Step 3: Cross multiply
    152.64x = 229.80 × 118.59
  4. Step 4: Simplify right side
    152.64x = 27,251.98
  5. Step 5: Solve for x
    x = 27,251.98/152.64
  6. Step 6: Final answer
    x = 178.54

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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.