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Finding the Fourth Proportional to 856.95, 1,285.38 and 240.75

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Solution

The fourth proportional to 856.95, 1,285.38 and 240.75 is: 361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.95 : 1,285.38 = 240.75 : x
  2. Step 2: Convert to fraction form
    856.95/1,285.38 = 240.75/x
  3. Step 3: Cross multiply
    856.95x = 1,285.38 × 240.75
  4. Step 4: Simplify right side
    856.95x = 309,455.24
  5. Step 5: Solve for x
    x = 309,455.24/856.95
  6. Step 6: Final answer
    x = 361.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.