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Finding the Fourth Proportional to 178.24, 246.24 and 152.32

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Solution

The fourth proportional to 178.24, 246.24 and 152.32 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 246.24 = 152.32 : x
  2. Step 2: Convert to fraction form
    178.24/246.24 = 152.32/x
  3. Step 3: Cross multiply
    178.24x = 246.24 × 152.32
  4. Step 4: Simplify right side
    178.24x = 37,507.28
  5. Step 5: Solve for x
    x = 37,507.28/178.24
  6. Step 6: Final answer
    x = 210.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.