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Finding the Fourth Proportional to 346.30, 520.17 and 292.30

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Solution

The fourth proportional to 346.30, 520.17 and 292.30 is: 439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 520.17 = 292.30 : x
  2. Step 2: Convert to fraction form
    346.30/520.17 = 292.30/x
  3. Step 3: Cross multiply
    346.30x = 520.17 × 292.30
  4. Step 4: Simplify right side
    346.30x = 152,045.69
  5. Step 5: Solve for x
    x = 152,045.69/346.30
  6. Step 6: Final answer
    x = 439.06

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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.