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Finding the Fourth Proportional to 470.34, 649.07 and 257.65

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Solution

The fourth proportional to 470.34, 649.07 and 257.65 is: 355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 649.07 = 257.65 : x
  2. Step 2: Convert to fraction form
    470.34/649.07 = 257.65/x
  3. Step 3: Cross multiply
    470.34x = 649.07 × 257.65
  4. Step 4: Simplify right side
    470.34x = 167,232.89
  5. Step 5: Solve for x
    x = 167,232.89/470.34
  6. Step 6: Final answer
    x = 355.56

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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.