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Finding the Fourth Proportional to 346.62, 521.01 and 289.20

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Solution

The fourth proportional to 346.62, 521.01 and 289.20 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.62 : 521.01 = 289.20 : x
  2. Step 2: Convert to fraction form
    346.62/521.01 = 289.20/x
  3. Step 3: Cross multiply
    346.62x = 521.01 × 289.20
  4. Step 4: Simplify right side
    346.62x = 150,676.09
  5. Step 5: Solve for x
    x = 150,676.09/346.62
  6. Step 6: Final answer
    x = 434.70

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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.