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Finding the Fourth Proportional to 160.02, 238.72 and 155.61

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Solution

The fourth proportional to 160.02, 238.72 and 155.61 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 238.72 = 155.61 : x
  2. Step 2: Convert to fraction form
    160.02/238.72 = 155.61/x
  3. Step 3: Cross multiply
    160.02x = 238.72 × 155.61
  4. Step 4: Simplify right side
    160.02x = 37,147.22
  5. Step 5: Solve for x
    x = 37,147.22/160.02
  6. Step 6: Final answer
    x = 232.14

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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.