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Finding the Fourth Proportional to 471.40, 651.42 and 354.76

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Solution

The fourth proportional to 471.40, 651.42 and 354.76 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.40 : 651.42 = 354.76 : x
  2. Step 2: Convert to fraction form
    471.40/651.42 = 354.76/x
  3. Step 3: Cross multiply
    471.40x = 651.42 × 354.76
  4. Step 4: Simplify right side
    471.40x = 231,097.76
  5. Step 5: Solve for x
    x = 231,097.76/471.40
  6. Step 6: Final answer
    x = 490.24

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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.