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Finding the Fourth Proportional to 444.29, 613.34 and 278.74

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Solution

The fourth proportional to 444.29, 613.34 and 278.74 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.29 : 613.34 = 278.74 : x
  2. Step 2: Convert to fraction form
    444.29/613.34 = 278.74/x
  3. Step 3: Cross multiply
    444.29x = 613.34 × 278.74
  4. Step 4: Simplify right side
    444.29x = 170,962.81
  5. Step 5: Solve for x
    x = 170,962.81/444.29
  6. Step 6: Final answer
    x = 384.80

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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.