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Finding the Fourth Proportional to 378.84, 564.44 and 373.96

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Solution

The fourth proportional to 378.84, 564.44 and 373.96 is: 557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 564.44 = 373.96 : x
  2. Step 2: Convert to fraction form
    378.84/564.44 = 373.96/x
  3. Step 3: Cross multiply
    378.84x = 564.44 × 373.96
  4. Step 4: Simplify right side
    378.84x = 211,077.98
  5. Step 5: Solve for x
    x = 211,077.98/378.84
  6. Step 6: Final answer
    x = 557.17

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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.