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Finding the Fourth Proportional to 290.66, 432.79 and 289.31

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Solution

The fourth proportional to 290.66, 432.79 and 289.31 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 432.79 = 289.31 : x
  2. Step 2: Convert to fraction form
    290.66/432.79 = 289.31/x
  3. Step 3: Cross multiply
    290.66x = 432.79 × 289.31
  4. Step 4: Simplify right side
    290.66x = 125,207.59
  5. Step 5: Solve for x
    x = 125,207.59/290.66
  6. Step 6: Final answer
    x = 430.78

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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.