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Finding the Fourth Proportional to 473.37, 709.65 and 257.10

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Solution

The fourth proportional to 473.37, 709.65 and 257.10 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.37 : 709.65 = 257.10 : x
  2. Step 2: Convert to fraction form
    473.37/709.65 = 257.10/x
  3. Step 3: Cross multiply
    473.37x = 709.65 × 257.10
  4. Step 4: Simplify right side
    473.37x = 182,451.02
  5. Step 5: Solve for x
    x = 182,451.02/473.37
  6. Step 6: Final answer
    x = 385.43

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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.