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Finding the Fourth Proportional to 333.78, 460.80 and 235.50

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Solution

The fourth proportional to 333.78, 460.80 and 235.50 is: 325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 460.80 = 235.50 : x
  2. Step 2: Convert to fraction form
    333.78/460.80 = 235.50/x
  3. Step 3: Cross multiply
    333.78x = 460.80 × 235.50
  4. Step 4: Simplify right side
    333.78x = 108,518.40
  5. Step 5: Solve for x
    x = 108,518.40/333.78
  6. Step 6: Final answer
    x = 325.12

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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.