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Finding the Fourth Proportional to 370.61, 553.21 and 343.12

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Solution

The fourth proportional to 370.61, 553.21 and 343.12 is: 512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.61 : 553.21 = 343.12 : x
  2. Step 2: Convert to fraction form
    370.61/553.21 = 343.12/x
  3. Step 3: Cross multiply
    370.61x = 553.21 × 343.12
  4. Step 4: Simplify right side
    370.61x = 189,816.21
  5. Step 5: Solve for x
    x = 189,816.21/370.61
  6. Step 6: Final answer
    x = 512.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.