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Finding the Fourth Proportional to 370.54, 552.54 and 345.41

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Solution

The fourth proportional to 370.54, 552.54 and 345.41 is: 515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 552.54 = 345.41 : x
  2. Step 2: Convert to fraction form
    370.54/552.54 = 345.41/x
  3. Step 3: Cross multiply
    370.54x = 552.54 × 345.41
  4. Step 4: Simplify right side
    370.54x = 190,853.45
  5. Step 5: Solve for x
    x = 190,853.45/370.54
  6. Step 6: Final answer
    x = 515.07

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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.