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Finding the Fourth Proportional to 372.84, 561.96 and 342.06

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Solution

The fourth proportional to 372.84, 561.96 and 342.06 is: 515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 561.96 = 342.06 : x
  2. Step 2: Convert to fraction form
    372.84/561.96 = 342.06/x
  3. Step 3: Cross multiply
    372.84x = 561.96 × 342.06
  4. Step 4: Simplify right side
    372.84x = 192,224.04
  5. Step 5: Solve for x
    x = 192,224.04/372.84
  6. Step 6: Final answer
    x = 515.57

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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.