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Finding the Fourth Proportional to 522.42, 783.54 and 214.08

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Solution

The fourth proportional to 522.42, 783.54 and 214.08 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 783.54 = 214.08 : x
  2. Step 2: Convert to fraction form
    522.42/783.54 = 214.08/x
  3. Step 3: Cross multiply
    522.42x = 783.54 × 214.08
  4. Step 4: Simplify right side
    522.42x = 167,740.24
  5. Step 5: Solve for x
    x = 167,740.24/522.42
  6. Step 6: Final answer
    x = 321.08

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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.