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Finding the Fourth Proportional to 374.42, 561.60 and 114.40

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Solution

The fourth proportional to 374.42, 561.60 and 114.40 is: 171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.42 : 561.60 = 114.40 : x
  2. Step 2: Convert to fraction form
    374.42/561.60 = 114.40/x
  3. Step 3: Cross multiply
    374.42x = 561.60 × 114.40
  4. Step 4: Simplify right side
    374.42x = 64,247.04
  5. Step 5: Solve for x
    x = 64,247.04/374.42
  6. Step 6: Final answer
    x = 171.59

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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.