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Finding the Fourth Proportional to 374.16, 563.32 and 331.08

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Solution

The fourth proportional to 374.16, 563.32 and 331.08 is: 498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.16 : 563.32 = 331.08 : x
  2. Step 2: Convert to fraction form
    374.16/563.32 = 331.08/x
  3. Step 3: Cross multiply
    374.16x = 563.32 × 331.08
  4. Step 4: Simplify right side
    374.16x = 186,503.99
  5. Step 5: Solve for x
    x = 186,503.99/374.16
  6. Step 6: Final answer
    x = 498.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.