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Finding the Fourth Proportional to 381.57, 526.57 and 224.31

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Solution

The fourth proportional to 381.57, 526.57 and 224.31 is: 309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.57 : 526.57 = 224.31 : x
  2. Step 2: Convert to fraction form
    381.57/526.57 = 224.31/x
  3. Step 3: Cross multiply
    381.57x = 526.57 × 224.31
  4. Step 4: Simplify right side
    381.57x = 118,114.92
  5. Step 5: Solve for x
    x = 118,114.92/381.57
  6. Step 6: Final answer
    x = 309.55

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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.