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Finding the Fourth Proportional to 343.18, 476.76 and 339.98

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Solution

The fourth proportional to 343.18, 476.76 and 339.98 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.18 : 476.76 = 339.98 : x
  2. Step 2: Convert to fraction form
    343.18/476.76 = 339.98/x
  3. Step 3: Cross multiply
    343.18x = 476.76 × 339.98
  4. Step 4: Simplify right side
    343.18x = 162,089.48
  5. Step 5: Solve for x
    x = 162,089.48/343.18
  6. Step 6: Final answer
    x = 472.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.