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Finding the Fourth Proportional to 290.46, 432.37 and 286.14

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Solution

The fourth proportional to 290.46, 432.37 and 286.14 is: 425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 432.37 = 286.14 : x
  2. Step 2: Convert to fraction form
    290.46/432.37 = 286.14/x
  3. Step 3: Cross multiply
    290.46x = 432.37 × 286.14
  4. Step 4: Simplify right side
    290.46x = 123,718.35
  5. Step 5: Solve for x
    x = 123,718.35/290.46
  6. Step 6: Final answer
    x = 425.94

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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.