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Finding the Fourth Proportional to 290.63, 433.68 and 283.68

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Solution

The fourth proportional to 290.63, 433.68 and 283.68 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.63 : 433.68 = 283.68 : x
  2. Step 2: Convert to fraction form
    290.63/433.68 = 283.68/x
  3. Step 3: Cross multiply
    290.63x = 433.68 × 283.68
  4. Step 4: Simplify right side
    290.63x = 123,026.34
  5. Step 5: Solve for x
    x = 123,026.34/290.63
  6. Step 6: Final answer
    x = 423.31

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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.