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Finding the Fourth Proportional to 526.52, 726.56 and 290.42

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Solution

The fourth proportional to 526.52, 726.56 and 290.42 is: 400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.52 : 726.56 = 290.42 : x
  2. Step 2: Convert to fraction form
    526.52/726.56 = 290.42/x
  3. Step 3: Cross multiply
    526.52x = 726.56 × 290.42
  4. Step 4: Simplify right side
    526.52x = 211,007.56
  5. Step 5: Solve for x
    x = 211,007.56/526.52
  6. Step 6: Final answer
    x = 400.76

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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.