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Finding the Fourth Proportional to 350.02, 527.11 and 304.91

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Solution

The fourth proportional to 350.02, 527.11 and 304.91 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 527.11 = 304.91 : x
  2. Step 2: Convert to fraction form
    350.02/527.11 = 304.91/x
  3. Step 3: Cross multiply
    350.02x = 527.11 × 304.91
  4. Step 4: Simplify right side
    350.02x = 160,719.69
  5. Step 5: Solve for x
    x = 160,719.69/350.02
  6. Step 6: Final answer
    x = 459.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.