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Finding the Fourth Proportional to 290.77, 431.29 and 286.45

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Solution

The fourth proportional to 290.77, 431.29 and 286.45 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.77 : 431.29 = 286.45 : x
  2. Step 2: Convert to fraction form
    290.77/431.29 = 286.45/x
  3. Step 3: Cross multiply
    290.77x = 431.29 × 286.45
  4. Step 4: Simplify right side
    290.77x = 123,543.02
  5. Step 5: Solve for x
    x = 123,543.02/290.77
  6. Step 6: Final answer
    x = 424.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.