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Finding the Fourth Proportional to 436.48, 601.68 and 289.12

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Solution

The fourth proportional to 436.48, 601.68 and 289.12 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.48 : 601.68 = 289.12 : x
  2. Step 2: Convert to fraction form
    436.48/601.68 = 289.12/x
  3. Step 3: Cross multiply
    436.48x = 601.68 × 289.12
  4. Step 4: Simplify right side
    436.48x = 173,957.72
  5. Step 5: Solve for x
    x = 173,957.72/436.48
  6. Step 6: Final answer
    x = 398.55

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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.