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Finding the Fourth Proportional to 152.31, 228.31 and 80.22

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Solution

The fourth proportional to 152.31, 228.31 and 80.22 is: 120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 228.31 = 80.22 : x
  2. Step 2: Convert to fraction form
    152.31/228.31 = 80.22/x
  3. Step 3: Cross multiply
    152.31x = 228.31 × 80.22
  4. Step 4: Simplify right side
    152.31x = 18,314.63
  5. Step 5: Solve for x
    x = 18,314.63/152.31
  6. Step 6: Final answer
    x = 120.25

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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.