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Finding the Fourth Proportional to 290.49, 432.26 and 280.56

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Solution

The fourth proportional to 290.49, 432.26 and 280.56 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.49 : 432.26 = 280.56 : x
  2. Step 2: Convert to fraction form
    290.49/432.26 = 280.56/x
  3. Step 3: Cross multiply
    290.49x = 432.26 × 280.56
  4. Step 4: Simplify right side
    290.49x = 121,274.87
  5. Step 5: Solve for x
    x = 121,274.87/290.49
  6. Step 6: Final answer
    x = 417.48

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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.