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Finding the Fourth Proportional to 312.85, 431.35 and 260.47

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Solution

The fourth proportional to 312.85, 431.35 and 260.47 is: 359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 431.35 = 260.47 : x
  2. Step 2: Convert to fraction form
    312.85/431.35 = 260.47/x
  3. Step 3: Cross multiply
    312.85x = 431.35 × 260.47
  4. Step 4: Simplify right side
    312.85x = 112,353.73
  5. Step 5: Solve for x
    x = 112,353.73/312.85
  6. Step 6: Final answer
    x = 359.13

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