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Finding the Fourth Proportional to 370.80, 558.36 and 340.56

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Solution

The fourth proportional to 370.80, 558.36 and 340.56 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.80 : 558.36 = 340.56 : x
  2. Step 2: Convert to fraction form
    370.80/558.36 = 340.56/x
  3. Step 3: Cross multiply
    370.80x = 558.36 × 340.56
  4. Step 4: Simplify right side
    370.80x = 190,155.08
  5. Step 5: Solve for x
    x = 190,155.08/370.80
  6. Step 6: Final answer
    x = 512.82

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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.