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Finding the Fourth Proportional to 552.37, 761.46 and 386.06

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Solution

The fourth proportional to 552.37, 761.46 and 386.06 is: 532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.37 : 761.46 = 386.06 : x
  2. Step 2: Convert to fraction form
    552.37/761.46 = 386.06/x
  3. Step 3: Cross multiply
    552.37x = 761.46 × 386.06
  4. Step 4: Simplify right side
    552.37x = 293,971.15
  5. Step 5: Solve for x
    x = 293,971.15/552.37
  6. Step 6: Final answer
    x = 532.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.