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Finding the Fourth Proportional to 489.50, 734.35 and 215.58

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Solution

The fourth proportional to 489.50, 734.35 and 215.58 is: 323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.50 : 734.35 = 215.58 : x
  2. Step 2: Convert to fraction form
    489.50/734.35 = 215.58/x
  3. Step 3: Cross multiply
    489.50x = 734.35 × 215.58
  4. Step 4: Simplify right side
    489.50x = 158,311.17
  5. Step 5: Solve for x
    x = 158,311.17/489.50
  6. Step 6: Final answer
    x = 323.41

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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.