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Finding the Fourth Proportional to 521.93, 783.20 and 193.10

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Solution

The fourth proportional to 521.93, 783.20 and 193.10 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 783.20 = 193.10 : x
  2. Step 2: Convert to fraction form
    521.93/783.20 = 193.10/x
  3. Step 3: Cross multiply
    521.93x = 783.20 × 193.10
  4. Step 4: Simplify right side
    521.93x = 151,232.68
  5. Step 5: Solve for x
    x = 151,232.68/521.93
  6. Step 6: Final answer
    x = 289.76

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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.