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Finding the Fourth Proportional to 290.76, 433 and 289.32

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Solution

The fourth proportional to 290.76, 433 and 289.32 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 433 = 289.32 : x
  2. Step 2: Convert to fraction form
    290.76/433 = 289.32/x
  3. Step 3: Cross multiply
    290.76x = 433 × 289.32
  4. Step 4: Simplify right side
    290.76x = 125,275.56
  5. Step 5: Solve for x
    x = 125,275.56/290.76
  6. Step 6: Final answer
    x = 430.86

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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.