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Finding the Fourth Proportional to 383.51, 529.31 and 226.15

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Solution

The fourth proportional to 383.51, 529.31 and 226.15 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.51 : 529.31 = 226.15 : x
  2. Step 2: Convert to fraction form
    383.51/529.31 = 226.15/x
  3. Step 3: Cross multiply
    383.51x = 529.31 × 226.15
  4. Step 4: Simplify right side
    383.51x = 119,703.46
  5. Step 5: Solve for x
    x = 119,703.46/383.51
  6. Step 6: Final answer
    x = 312.13

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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.