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Finding the Fourth Proportional to 521.93, 783.23 and 213.99

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Solution

The fourth proportional to 521.93, 783.23 and 213.99 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 783.23 = 213.99 : x
  2. Step 2: Convert to fraction form
    521.93/783.23 = 213.99/x
  3. Step 3: Cross multiply
    521.93x = 783.23 × 213.99
  4. Step 4: Simplify right side
    521.93x = 167,602.32
  5. Step 5: Solve for x
    x = 167,602.32/521.93
  6. Step 6: Final answer
    x = 321.12

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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.