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Finding the Fourth Proportional to 383.74, 529.45 and 265.58

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Solution

The fourth proportional to 383.74, 529.45 and 265.58 is: 366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.74 : 529.45 = 265.58 : x
  2. Step 2: Convert to fraction form
    383.74/529.45 = 265.58/x
  3. Step 3: Cross multiply
    383.74x = 529.45 × 265.58
  4. Step 4: Simplify right side
    383.74x = 140,611.33
  5. Step 5: Solve for x
    x = 140,611.33/383.74
  6. Step 6: Final answer
    x = 366.42

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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.