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Finding the Fourth Proportional to 489.98, 735.29 and 233.50

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Solution

The fourth proportional to 489.98, 735.29 and 233.50 is: 350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.98 : 735.29 = 233.50 : x
  2. Step 2: Convert to fraction form
    489.98/735.29 = 233.50/x
  3. Step 3: Cross multiply
    489.98x = 735.29 × 233.50
  4. Step 4: Simplify right side
    489.98x = 171,690.22
  5. Step 5: Solve for x
    x = 171,690.22/489.98
  6. Step 6: Final answer
    x = 350.40

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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.