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Finding the Fourth Proportional to 864.25, 1,296.39 and 214.99

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Solution

The fourth proportional to 864.25, 1,296.39 and 214.99 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.25 : 1,296.39 = 214.99 : x
  2. Step 2: Convert to fraction form
    864.25/1,296.39 = 214.99/x
  3. Step 3: Cross multiply
    864.25x = 1,296.39 × 214.99
  4. Step 4: Simplify right side
    864.25x = 278,710.89
  5. Step 5: Solve for x
    x = 278,710.89/864.25
  6. Step 6: Final answer
    x = 322.49

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Double scale
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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.