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Finding the Fourth Proportional to 521.00, 718.76 and 311.11

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Solution

The fourth proportional to 521.00, 718.76 and 311.11 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.00 : 718.76 = 311.11 : x
  2. Step 2: Convert to fraction form
    521.00/718.76 = 311.11/x
  3. Step 3: Cross multiply
    521.00x = 718.76 × 311.11
  4. Step 4: Simplify right side
    521.00x = 223,613.93
  5. Step 5: Solve for x
    x = 223,613.93/521.00
  6. Step 6: Final answer
    x = 429.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.