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Finding the Fourth Proportional to 561.48, 842.25 and 214.75

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Solution

The fourth proportional to 561.48, 842.25 and 214.75 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.48 : 842.25 = 214.75 : x
  2. Step 2: Convert to fraction form
    561.48/842.25 = 214.75/x
  3. Step 3: Cross multiply
    561.48x = 842.25 × 214.75
  4. Step 4: Simplify right side
    561.48x = 180,873.19
  5. Step 5: Solve for x
    x = 180,873.19/561.48
  6. Step 6: Final answer
    x = 322.14

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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.