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Finding the Fourth Proportional to 522.35, 783.51 and 214.11

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Solution

The fourth proportional to 522.35, 783.51 and 214.11 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.35 : 783.51 = 214.11 : x
  2. Step 2: Convert to fraction form
    522.35/783.51 = 214.11/x
  3. Step 3: Cross multiply
    522.35x = 783.51 × 214.11
  4. Step 4: Simplify right side
    522.35x = 167,757.33
  5. Step 5: Solve for x
    x = 167,757.33/522.35
  6. Step 6: Final answer
    x = 321.16

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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.