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Finding the Fourth Proportional to 407.53, 610.37 and 244.87

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Solution

The fourth proportional to 407.53, 610.37 and 244.87 is: 366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.53 : 610.37 = 244.87 : x
  2. Step 2: Convert to fraction form
    407.53/610.37 = 244.87/x
  3. Step 3: Cross multiply
    407.53x = 610.37 × 244.87
  4. Step 4: Simplify right side
    407.53x = 149,457.03
  5. Step 5: Solve for x
    x = 149,457.03/407.53
  6. Step 6: Final answer
    x = 366.74

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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.