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Finding the Fourth Proportional to 489.56, 734.32 and 164.84

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Solution

The fourth proportional to 489.56, 734.32 and 164.84 is: 247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.56 : 734.32 = 164.84 : x
  2. Step 2: Convert to fraction form
    489.56/734.32 = 164.84/x
  3. Step 3: Cross multiply
    489.56x = 734.32 × 164.84
  4. Step 4: Simplify right side
    489.56x = 121,045.31
  5. Step 5: Solve for x
    x = 121,045.31/489.56
  6. Step 6: Final answer
    x = 247.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.