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Finding the Fourth Proportional to 381.36, 526.86 and 265.26

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Solution

The fourth proportional to 381.36, 526.86 and 265.26 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 526.86 = 265.26 : x
  2. Step 2: Convert to fraction form
    381.36/526.86 = 265.26/x
  3. Step 3: Cross multiply
    381.36x = 526.86 × 265.26
  4. Step 4: Simplify right side
    381.36x = 139,754.88
  5. Step 5: Solve for x
    x = 139,754.88/381.36
  6. Step 6: Final answer
    x = 366.46

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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.