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Finding the Fourth Proportional to 374.60, 561.14 and 305.44

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Solution

The fourth proportional to 374.60, 561.14 and 305.44 is: 457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 561.14 = 305.44 : x
  2. Step 2: Convert to fraction form
    374.60/561.14 = 305.44/x
  3. Step 3: Cross multiply
    374.60x = 561.14 × 305.44
  4. Step 4: Simplify right side
    374.60x = 171,392.82
  5. Step 5: Solve for x
    x = 171,392.82/374.60
  6. Step 6: Final answer
    x = 457.53

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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.