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Finding the Fourth Proportional to 164.61, 245.31 and 160.29

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Solution

The fourth proportional to 164.61, 245.31 and 160.29 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 245.31 = 160.29 : x
  2. Step 2: Convert to fraction form
    164.61/245.31 = 160.29/x
  3. Step 3: Cross multiply
    164.61x = 245.31 × 160.29
  4. Step 4: Simplify right side
    164.61x = 39,320.74
  5. Step 5: Solve for x
    x = 39,320.74/164.61
  6. Step 6: Final answer
    x = 238.87

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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.