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Finding the Fourth Proportional to 374.97, 561.21 and 342.53

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Solution

The fourth proportional to 374.97, 561.21 and 342.53 is: 512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.97 : 561.21 = 342.53 : x
  2. Step 2: Convert to fraction form
    374.97/561.21 = 342.53/x
  3. Step 3: Cross multiply
    374.97x = 561.21 × 342.53
  4. Step 4: Simplify right side
    374.97x = 192,231.26
  5. Step 5: Solve for x
    x = 192,231.26/374.97
  6. Step 6: Final answer
    x = 512.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.