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Finding the Fourth Proportional to 476.18, 656.79 and 343.93

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Solution

The fourth proportional to 476.18, 656.79 and 343.93 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.18 : 656.79 = 343.93 : x
  2. Step 2: Convert to fraction form
    476.18/656.79 = 343.93/x
  3. Step 3: Cross multiply
    476.18x = 656.79 × 343.93
  4. Step 4: Simplify right side
    476.18x = 225,886.50
  5. Step 5: Solve for x
    x = 225,886.50/476.18
  6. Step 6: Final answer
    x = 474.38

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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.