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Finding the Fourth Proportional to 374.42, 564.43 and 349.33

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Solution

The fourth proportional to 374.42, 564.43 and 349.33 is: 526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.42 : 564.43 = 349.33 : x
  2. Step 2: Convert to fraction form
    374.42/564.43 = 349.33/x
  3. Step 3: Cross multiply
    374.42x = 564.43 × 349.33
  4. Step 4: Simplify right side
    374.42x = 197,171.76
  5. Step 5: Solve for x
    x = 197,171.76/374.42
  6. Step 6: Final answer
    x = 526.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.