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Finding the Fourth Proportional to 290.13, 432.78 and 262.77

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Solution

The fourth proportional to 290.13, 432.78 and 262.77 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 432.78 = 262.77 : x
  2. Step 2: Convert to fraction form
    290.13/432.78 = 262.77/x
  3. Step 3: Cross multiply
    290.13x = 432.78 × 262.77
  4. Step 4: Simplify right side
    290.13x = 113,721.60
  5. Step 5: Solve for x
    x = 113,721.60/290.13
  6. Step 6: Final answer
    x = 391.97

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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.