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Finding the Fourth Proportional to 383.76, 526.76 and 341.39

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Solution

The fourth proportional to 383.76, 526.76 and 341.39 is: 468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.76 : 526.76 = 341.39 : x
  2. Step 2: Convert to fraction form
    383.76/526.76 = 341.39/x
  3. Step 3: Cross multiply
    383.76x = 526.76 × 341.39
  4. Step 4: Simplify right side
    383.76x = 179,826.26
  5. Step 5: Solve for x
    x = 179,826.26/383.76
  6. Step 6: Final answer
    x = 468.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.