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Finding the Fourth Proportional to 856.16, 1,284.20 and 271.19

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Solution

The fourth proportional to 856.16, 1,284.20 and 271.19 is: 406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.16 : 1,284.20 = 271.19 : x
  2. Step 2: Convert to fraction form
    856.16/1,284.20 = 271.19/x
  3. Step 3: Cross multiply
    856.16x = 1,284.20 × 271.19
  4. Step 4: Simplify right side
    856.16x = 348,254.42
  5. Step 5: Solve for x
    x = 348,254.42/856.16
  6. Step 6: Final answer
    x = 406.77

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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.