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Finding the Fourth Proportional to 383.70, 529.77 and 342.12

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Solution

The fourth proportional to 383.70, 529.77 and 342.12 is: 472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.70 : 529.77 = 342.12 : x
  2. Step 2: Convert to fraction form
    383.70/529.77 = 342.12/x
  3. Step 3: Cross multiply
    383.70x = 529.77 × 342.12
  4. Step 4: Simplify right side
    383.70x = 181,244.91
  5. Step 5: Solve for x
    x = 181,244.91/383.70
  6. Step 6: Final answer
    x = 472.36

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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.