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Finding the Fourth Proportional to 436.23, 601.65 and 289.08

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Solution

The fourth proportional to 436.23, 601.65 and 289.08 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.23 : 601.65 = 289.08 : x
  2. Step 2: Convert to fraction form
    436.23/601.65 = 289.08/x
  3. Step 3: Cross multiply
    436.23x = 601.65 × 289.08
  4. Step 4: Simplify right side
    436.23x = 173,924.98
  5. Step 5: Solve for x
    x = 173,924.98/436.23
  6. Step 6: Final answer
    x = 398.70

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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.