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Finding the Fourth Proportional to 290.35, 432.41 and 282.64

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Solution

The fourth proportional to 290.35, 432.41 and 282.64 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.35 : 432.41 = 282.64 : x
  2. Step 2: Convert to fraction form
    290.35/432.41 = 282.64/x
  3. Step 3: Cross multiply
    290.35x = 432.41 × 282.64
  4. Step 4: Simplify right side
    290.35x = 122,216.36
  5. Step 5: Solve for x
    x = 122,216.36/290.35
  6. Step 6: Final answer
    x = 420.93

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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.