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Finding the Fourth Proportional to 471.30, 649.05 and 340.10

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Solution

The fourth proportional to 471.30, 649.05 and 340.10 is: 468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.30 : 649.05 = 340.10 : x
  2. Step 2: Convert to fraction form
    471.30/649.05 = 340.10/x
  3. Step 3: Cross multiply
    471.30x = 649.05 × 340.10
  4. Step 4: Simplify right side
    471.30x = 220,741.91
  5. Step 5: Solve for x
    x = 220,741.91/471.30
  6. Step 6: Final answer
    x = 468.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.