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Finding the Fourth Proportional to 374.52, 561.76 and 230.20

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Solution

The fourth proportional to 374.52, 561.76 and 230.20 is: 345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.52 : 561.76 = 230.20 : x
  2. Step 2: Convert to fraction form
    374.52/561.76 = 230.20/x
  3. Step 3: Cross multiply
    374.52x = 561.76 × 230.20
  4. Step 4: Simplify right side
    374.52x = 129,317.15
  5. Step 5: Solve for x
    x = 129,317.15/374.52
  6. Step 6: Final answer
    x = 345.29

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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.