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Finding the Fourth Proportional to 374.21, 557.43 and 353.69

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Solution

The fourth proportional to 374.21, 557.43 and 353.69 is: 526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.21 : 557.43 = 353.69 : x
  2. Step 2: Convert to fraction form
    374.21/557.43 = 353.69/x
  3. Step 3: Cross multiply
    374.21x = 557.43 × 353.69
  4. Step 4: Simplify right side
    374.21x = 197,157.42
  5. Step 5: Solve for x
    x = 197,157.42/374.21
  6. Step 6: Final answer
    x = 526.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.