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Finding the Fourth Proportional to 346.31, 519.53 and 285.69

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Solution

The fourth proportional to 346.31, 519.53 and 285.69 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 519.53 = 285.69 : x
  2. Step 2: Convert to fraction form
    346.31/519.53 = 285.69/x
  3. Step 3: Cross multiply
    346.31x = 519.53 × 285.69
  4. Step 4: Simplify right side
    346.31x = 148,423.10
  5. Step 5: Solve for x
    x = 148,423.10/346.31
  6. Step 6: Final answer
    x = 428.59

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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.