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Finding the Fourth Proportional to 423.30, 583.36 and 290.56

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Solution

The fourth proportional to 423.30, 583.36 and 290.56 is: 400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 583.36 = 290.56 : x
  2. Step 2: Convert to fraction form
    423.30/583.36 = 290.56/x
  3. Step 3: Cross multiply
    423.30x = 583.36 × 290.56
  4. Step 4: Simplify right side
    423.30x = 169,498.16
  5. Step 5: Solve for x
    x = 169,498.16/423.30
  6. Step 6: Final answer
    x = 400.43

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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.