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Finding the Fourth Proportional to 160.95, 220.74 and 152.31

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Solution

The fourth proportional to 160.95, 220.74 and 152.31 is: 208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 220.74 = 152.31 : x
  2. Step 2: Convert to fraction form
    160.95/220.74 = 152.31/x
  3. Step 3: Cross multiply
    160.95x = 220.74 × 152.31
  4. Step 4: Simplify right side
    160.95x = 33,620.91
  5. Step 5: Solve for x
    x = 33,620.91/160.95
  6. Step 6: Final answer
    x = 208.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.