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Finding the Fourth Proportional to 314.30, 470.66 and 233.30

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Solution

The fourth proportional to 314.30, 470.66 and 233.30 is: 349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 470.66 = 233.30 : x
  2. Step 2: Convert to fraction form
    314.30/470.66 = 233.30/x
  3. Step 3: Cross multiply
    314.30x = 470.66 × 233.30
  4. Step 4: Simplify right side
    314.30x = 109,804.98
  5. Step 5: Solve for x
    x = 109,804.98/314.30
  6. Step 6: Final answer
    x = 349.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.