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Finding the Fourth Proportional to 856.51, 1,284.85 and 240.22

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Solution

The fourth proportional to 856.51, 1,284.85 and 240.22 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.51 : 1,284.85 = 240.22 : x
  2. Step 2: Convert to fraction form
    856.51/1,284.85 = 240.22/x
  3. Step 3: Cross multiply
    856.51x = 1,284.85 × 240.22
  4. Step 4: Simplify right side
    856.51x = 308,646.67
  5. Step 5: Solve for x
    x = 308,646.67/856.51
  6. Step 6: Final answer
    x = 360.35

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1.5x scale

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.