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Finding the Fourth Proportional to 390.90, 539.57 and 233.66

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Solution

The fourth proportional to 390.90, 539.57 and 233.66 is: 322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.90 : 539.57 = 233.66 : x
  2. Step 2: Convert to fraction form
    390.90/539.57 = 233.66/x
  3. Step 3: Cross multiply
    390.90x = 539.57 × 233.66
  4. Step 4: Simplify right side
    390.90x = 126,072.06
  5. Step 5: Solve for x
    x = 126,072.06/390.90
  6. Step 6: Final answer
    x = 322.52

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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.