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Finding the Fourth Proportional to 312.90, 431.37 and 260.52

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Solution

The fourth proportional to 312.90, 431.37 and 260.52 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.90 : 431.37 = 260.52 : x
  2. Step 2: Convert to fraction form
    312.90/431.37 = 260.52/x
  3. Step 3: Cross multiply
    312.90x = 431.37 × 260.52
  4. Step 4: Simplify right side
    312.90x = 112,380.51
  5. Step 5: Solve for x
    x = 112,380.51/312.90
  6. Step 6: Final answer
    x = 359.16

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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.