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Finding the Fourth Proportional to 444.68, 613.54 and 265.20

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Solution

The fourth proportional to 444.68, 613.54 and 265.20 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.68 : 613.54 = 265.20 : x
  2. Step 2: Convert to fraction form
    444.68/613.54 = 265.20/x
  3. Step 3: Cross multiply
    444.68x = 613.54 × 265.20
  4. Step 4: Simplify right side
    444.68x = 162,710.81
  5. Step 5: Solve for x
    x = 162,710.81/444.68
  6. Step 6: Final answer
    x = 365.91

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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.