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Finding the Fourth Proportional to 431.24, 594.81 and 265.28

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Solution

The fourth proportional to 431.24, 594.81 and 265.28 is: 365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.24 : 594.81 = 265.28 : x
  2. Step 2: Convert to fraction form
    431.24/594.81 = 265.28/x
  3. Step 3: Cross multiply
    431.24x = 594.81 × 265.28
  4. Step 4: Simplify right side
    431.24x = 157,788.22
  5. Step 5: Solve for x
    x = 157,788.22/431.24
  6. Step 6: Final answer
    x = 365.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.