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Finding the Fourth Proportional to 290.08, 431.84 and 285.76

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Solution

The fourth proportional to 290.08, 431.84 and 285.76 is: 425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.08 : 431.84 = 285.76 : x
  2. Step 2: Convert to fraction form
    290.08/431.84 = 285.76/x
  3. Step 3: Cross multiply
    290.08x = 431.84 × 285.76
  4. Step 4: Simplify right side
    290.08x = 123,402.60
  5. Step 5: Solve for x
    x = 123,402.60/290.08
  6. Step 6: Final answer
    x = 425.41

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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.