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Finding the Fourth Proportional to 436.90, 603.16 and 289.72

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Solution

The fourth proportional to 436.90, 603.16 and 289.72 is: 399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.90 : 603.16 = 289.72 : x
  2. Step 2: Convert to fraction form
    436.90/603.16 = 289.72/x
  3. Step 3: Cross multiply
    436.90x = 603.16 × 289.72
  4. Step 4: Simplify right side
    436.90x = 174,747.52
  5. Step 5: Solve for x
    x = 174,747.52/436.90
  6. Step 6: Final answer
    x = 399.97

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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.