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Finding the Fourth Proportional to 489.16, 732.42 and 245.08

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Solution

The fourth proportional to 489.16, 732.42 and 245.08 is: 366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 732.42 = 245.08 : x
  2. Step 2: Convert to fraction form
    489.16/732.42 = 245.08/x
  3. Step 3: Cross multiply
    489.16x = 732.42 × 245.08
  4. Step 4: Simplify right side
    489.16x = 179,501.49
  5. Step 5: Solve for x
    x = 179,501.49/489.16
  6. Step 6: Final answer
    x = 366.96

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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.