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Finding the Fourth Proportional to 160.64, 239.08 and 154.88

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Solution

The fourth proportional to 160.64, 239.08 and 154.88 is: 230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 239.08 = 154.88 : x
  2. Step 2: Convert to fraction form
    160.64/239.08 = 154.88/x
  3. Step 3: Cross multiply
    160.64x = 239.08 × 154.88
  4. Step 4: Simplify right side
    160.64x = 37,028.71
  5. Step 5: Solve for x
    x = 37,028.71/160.64
  6. Step 6: Final answer
    x = 230.51

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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.