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Finding the Fourth Proportional to 290.76, 433.33 and 290.31

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Solution

The fourth proportional to 290.76, 433.33 and 290.31 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 433.33 = 290.31 : x
  2. Step 2: Convert to fraction form
    290.76/433.33 = 290.31/x
  3. Step 3: Cross multiply
    290.76x = 433.33 × 290.31
  4. Step 4: Simplify right side
    290.76x = 125,800.03
  5. Step 5: Solve for x
    x = 125,800.03/290.76
  6. Step 6: Final answer
    x = 432.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.