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Finding the Fourth Proportional to 444.63, 613.35 and 278.81

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Solution

The fourth proportional to 444.63, 613.35 and 278.81 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.63 : 613.35 = 278.81 : x
  2. Step 2: Convert to fraction form
    444.63/613.35 = 278.81/x
  3. Step 3: Cross multiply
    444.63x = 613.35 × 278.81
  4. Step 4: Simplify right side
    444.63x = 171,008.11
  5. Step 5: Solve for x
    x = 171,008.11/444.63
  6. Step 6: Final answer
    x = 384.61

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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.