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Finding the Fourth Proportional to 378.01, 564.06 and 339.06

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Solution

The fourth proportional to 378.01, 564.06 and 339.06 is: 505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.01 : 564.06 = 339.06 : x
  2. Step 2: Convert to fraction form
    378.01/564.06 = 339.06/x
  3. Step 3: Cross multiply
    378.01x = 564.06 × 339.06
  4. Step 4: Simplify right side
    378.01x = 191,250.18
  5. Step 5: Solve for x
    x = 191,250.18/378.01
  6. Step 6: Final answer
    x = 505.94

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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.