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Finding the Fourth Proportional to 343.57, 474.24 and 307.12

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Solution

The fourth proportional to 343.57, 474.24 and 307.12 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.57 : 474.24 = 307.12 : x
  2. Step 2: Convert to fraction form
    343.57/474.24 = 307.12/x
  3. Step 3: Cross multiply
    343.57x = 474.24 × 307.12
  4. Step 4: Simplify right side
    343.57x = 145,648.59
  5. Step 5: Solve for x
    x = 145,648.59/343.57
  6. Step 6: Final answer
    x = 423.93

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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.