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Finding the Fourth Proportional to 561.33, 842.24 and 214.77

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Solution

The fourth proportional to 561.33, 842.24 and 214.77 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 842.24 = 214.77 : x
  2. Step 2: Convert to fraction form
    561.33/842.24 = 214.77/x
  3. Step 3: Cross multiply
    561.33x = 842.24 × 214.77
  4. Step 4: Simplify right side
    561.33x = 180,888.42
  5. Step 5: Solve for x
    x = 180,888.42/561.33
  6. Step 6: Final answer
    x = 322.25

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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.