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Finding the Fourth Proportional to 390.22, 542.25 and 386.26

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Solution

The fourth proportional to 390.22, 542.25 and 386.26 is: 536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 542.25 = 386.26 : x
  2. Step 2: Convert to fraction form
    390.22/542.25 = 386.26/x
  3. Step 3: Cross multiply
    390.22x = 542.25 × 386.26
  4. Step 4: Simplify right side
    390.22x = 209,449.49
  5. Step 5: Solve for x
    x = 209,449.49/390.22
  6. Step 6: Final answer
    x = 536.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.