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Finding the Fourth Proportional to 263.02, 392.45 and 233.64

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Solution

The fourth proportional to 263.02, 392.45 and 233.64 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.02 : 392.45 = 233.64 : x
  2. Step 2: Convert to fraction form
    263.02/392.45 = 233.64/x
  3. Step 3: Cross multiply
    263.02x = 392.45 × 233.64
  4. Step 4: Simplify right side
    263.02x = 91,692.02
  5. Step 5: Solve for x
    x = 91,692.02/263.02
  6. Step 6: Final answer
    x = 348.61

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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.