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Finding the Fourth Proportional to 152.35, 229.64 and 125.62

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Solution

The fourth proportional to 152.35, 229.64 and 125.62 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 229.64 = 125.62 : x
  2. Step 2: Convert to fraction form
    152.35/229.64 = 125.62/x
  3. Step 3: Cross multiply
    152.35x = 229.64 × 125.62
  4. Step 4: Simplify right side
    152.35x = 28,847.38
  5. Step 5: Solve for x
    x = 28,847.38/152.35
  6. Step 6: Final answer
    x = 189.35

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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.