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Finding the Fourth Proportional to 370.64, 557.90 and 314.96

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Solution

The fourth proportional to 370.64, 557.90 and 314.96 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 557.90 = 314.96 : x
  2. Step 2: Convert to fraction form
    370.64/557.90 = 314.96/x
  3. Step 3: Cross multiply
    370.64x = 557.90 × 314.96
  4. Step 4: Simplify right side
    370.64x = 175,716.18
  5. Step 5: Solve for x
    x = 175,716.18/370.64
  6. Step 6: Final answer
    x = 474.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.