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Finding the Fourth Proportional to 233.52, 348.68 and 225.12

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Solution

The fourth proportional to 233.52, 348.68 and 225.12 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 348.68 = 225.12 : x
  2. Step 2: Convert to fraction form
    233.52/348.68 = 225.12/x
  3. Step 3: Cross multiply
    233.52x = 348.68 × 225.12
  4. Step 4: Simplify right side
    233.52x = 78,494.84
  5. Step 5: Solve for x
    x = 78,494.84/233.52
  6. Step 6: Final answer
    x = 336.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.