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Finding the Fourth Proportional to 160.20, 238.73 and 152.46

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Solution

The fourth proportional to 160.20, 238.73 and 152.46 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 238.73 = 152.46 : x
  2. Step 2: Convert to fraction form
    160.20/238.73 = 152.46/x
  3. Step 3: Cross multiply
    160.20x = 238.73 × 152.46
  4. Step 4: Simplify right side
    160.20x = 36,396.01
  5. Step 5: Solve for x
    x = 36,396.01/160.20
  6. Step 6: Final answer
    x = 227.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.