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Finding the Fourth Proportional to 386.58, 577.16 and 325.07

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Solution

The fourth proportional to 386.58, 577.16 and 325.07 is: 485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.58 : 577.16 = 325.07 : x
  2. Step 2: Convert to fraction form
    386.58/577.16 = 325.07/x
  3. Step 3: Cross multiply
    386.58x = 577.16 × 325.07
  4. Step 4: Simplify right side
    386.58x = 187,612.89
  5. Step 5: Solve for x
    x = 187,612.89/386.58
  6. Step 6: Final answer
    x = 485.31

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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.