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Finding the Fourth Proportional to 390.84, 539.26 and 233.52

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Solution

The fourth proportional to 390.84, 539.26 and 233.52 is: 322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 539.26 = 233.52 : x
  2. Step 2: Convert to fraction form
    390.84/539.26 = 233.52/x
  3. Step 3: Cross multiply
    390.84x = 539.26 × 233.52
  4. Step 4: Simplify right side
    390.84x = 125,928.00
  5. Step 5: Solve for x
    x = 125,928.00/390.84
  6. Step 6: Final answer
    x = 322.20

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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.