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Finding the Fourth Proportional to 416.15, 575.70 and 342.32

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Solution

The fourth proportional to 416.15, 575.70 and 342.32 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.15 : 575.70 = 342.32 : x
  2. Step 2: Convert to fraction form
    416.15/575.70 = 342.32/x
  3. Step 3: Cross multiply
    416.15x = 575.70 × 342.32
  4. Step 4: Simplify right side
    416.15x = 197,073.62
  5. Step 5: Solve for x
    x = 197,073.62/416.15
  6. Step 6: Final answer
    x = 473.56

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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.