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Finding the Fourth Proportional to 152.20, 228.30 and 125.31

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Solution

The fourth proportional to 152.20, 228.30 and 125.31 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 228.30 = 125.31 : x
  2. Step 2: Convert to fraction form
    152.20/228.30 = 125.31/x
  3. Step 3: Cross multiply
    152.20x = 228.30 × 125.31
  4. Step 4: Simplify right side
    152.20x = 28,607.65
  5. Step 5: Solve for x
    x = 28,607.65/152.20
  6. Step 6: Final answer
    x = 187.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.