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Finding the Fourth Proportional to 378.89, 564.06 and 373.76

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Solution

The fourth proportional to 378.89, 564.06 and 373.76 is: 556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.89 : 564.06 = 373.76 : x
  2. Step 2: Convert to fraction form
    378.89/564.06 = 373.76/x
  3. Step 3: Cross multiply
    378.89x = 564.06 × 373.76
  4. Step 4: Simplify right side
    378.89x = 210,820.25
  5. Step 5: Solve for x
    x = 210,820.25/378.89
  6. Step 6: Final answer
    x = 556.42

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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.