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Finding the Fourth Proportional to 443.42, 610.67 and 318.86

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Solution

The fourth proportional to 443.42, 610.67 and 318.86 is: 439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.42 : 610.67 = 318.86 : x
  2. Step 2: Convert to fraction form
    443.42/610.67 = 318.86/x
  3. Step 3: Cross multiply
    443.42x = 610.67 × 318.86
  4. Step 4: Simplify right side
    443.42x = 194,718.24
  5. Step 5: Solve for x
    x = 194,718.24/443.42
  6. Step 6: Final answer
    x = 439.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.