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Finding the Fourth Proportional to 526.78, 726.78 and 330.22

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Solution

The fourth proportional to 526.78, 726.78 and 330.22 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 726.78 = 330.22 : x
  2. Step 2: Convert to fraction form
    526.78/726.78 = 330.22/x
  3. Step 3: Cross multiply
    526.78x = 726.78 × 330.22
  4. Step 4: Simplify right side
    526.78x = 239,997.29
  5. Step 5: Solve for x
    x = 239,997.29/526.78
  6. Step 6: Final answer
    x = 455.59

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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.