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Finding the Fourth Proportional to 290.02, 432.78 and 259.26

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Solution

The fourth proportional to 290.02, 432.78 and 259.26 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.02 : 432.78 = 259.26 : x
  2. Step 2: Convert to fraction form
    290.02/432.78 = 259.26/x
  3. Step 3: Cross multiply
    290.02x = 432.78 × 259.26
  4. Step 4: Simplify right side
    290.02x = 112,202.54
  5. Step 5: Solve for x
    x = 112,202.54/290.02
  6. Step 6: Final answer
    x = 386.88

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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.