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Finding the Fourth Proportional to 374.69, 564.84 and 351.20

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Solution

The fourth proportional to 374.69, 564.84 and 351.20 is: 529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.69 : 564.84 = 351.20 : x
  2. Step 2: Convert to fraction form
    374.69/564.84 = 351.20/x
  3. Step 3: Cross multiply
    374.69x = 564.84 × 351.20
  4. Step 4: Simplify right side
    374.69x = 198,373.22
  5. Step 5: Solve for x
    x = 198,373.22/374.69
  6. Step 6: Final answer
    x = 529.43

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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.