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Finding the Fourth Proportional to 160.64, 239.62 and 141.35

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Solution

The fourth proportional to 160.64, 239.62 and 141.35 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 239.62 = 141.35 : x
  2. Step 2: Convert to fraction form
    160.64/239.62 = 141.35/x
  3. Step 3: Cross multiply
    160.64x = 239.62 × 141.35
  4. Step 4: Simplify right side
    160.64x = 33,870.29
  5. Step 5: Solve for x
    x = 33,870.29/160.64
  6. Step 6: Final answer
    x = 210.85

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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.