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Finding the Fourth Proportional to 476.02, 656.34 and 310.18

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Solution

The fourth proportional to 476.02, 656.34 and 310.18 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 656.34 = 310.18 : x
  2. Step 2: Convert to fraction form
    476.02/656.34 = 310.18/x
  3. Step 3: Cross multiply
    476.02x = 656.34 × 310.18
  4. Step 4: Simplify right side
    476.02x = 203,583.54
  5. Step 5: Solve for x
    x = 203,583.54/476.02
  6. Step 6: Final answer
    x = 427.68

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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.