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Finding the Fourth Proportional to 346.48, 520.53 and 299.50

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Solution

The fourth proportional to 346.48, 520.53 and 299.50 is: 449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 520.53 = 299.50 : x
  2. Step 2: Convert to fraction form
    346.48/520.53 = 299.50/x
  3. Step 3: Cross multiply
    346.48x = 520.53 × 299.50
  4. Step 4: Simplify right side
    346.48x = 155,896.31
  5. Step 5: Solve for x
    x = 155,896.31/346.48
  6. Step 6: Final answer
    x = 449.95

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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.