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Finding the Fourth Proportional to 381.16, 526 and 215.40

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Solution

The fourth proportional to 381.16, 526 and 215.40 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 526 = 215.40 : x
  2. Step 2: Convert to fraction form
    381.16/526 = 215.40/x
  3. Step 3: Cross multiply
    381.16x = 526 × 215.40
  4. Step 4: Simplify right side
    381.16x = 113,300.40
  5. Step 5: Solve for x
    x = 113,300.40/381.16
  6. Step 6: Final answer
    x = 297.25

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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.