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Finding the Fourth Proportional to 526.40, 726.42 and 290.33

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Solution

The fourth proportional to 526.40, 726.42 and 290.33 is: 400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 726.42 = 290.33 : x
  2. Step 2: Convert to fraction form
    526.40/726.42 = 290.33/x
  3. Step 3: Cross multiply
    526.40x = 726.42 × 290.33
  4. Step 4: Simplify right side
    526.40x = 210,901.52
  5. Step 5: Solve for x
    x = 210,901.52/526.40
  6. Step 6: Final answer
    x = 400.65

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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.