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Finding the Fourth Proportional to 477.12, 714.88 and 233.44

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Solution

The fourth proportional to 477.12, 714.88 and 233.44 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 714.88 = 233.44 : x
  2. Step 2: Convert to fraction form
    477.12/714.88 = 233.44/x
  3. Step 3: Cross multiply
    477.12x = 714.88 × 233.44
  4. Step 4: Simplify right side
    477.12x = 166,881.59
  5. Step 5: Solve for x
    x = 166,881.59/477.12
  6. Step 6: Final answer
    x = 349.77

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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.