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Finding the Fourth Proportional to 436.16, 601.84 and 259.20

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Solution

The fourth proportional to 436.16, 601.84 and 259.20 is: 357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.16 : 601.84 = 259.20 : x
  2. Step 2: Convert to fraction form
    436.16/601.84 = 259.20/x
  3. Step 3: Cross multiply
    436.16x = 601.84 × 259.20
  4. Step 4: Simplify right side
    436.16x = 155,996.93
  5. Step 5: Solve for x
    x = 155,996.93/436.16
  6. Step 6: Final answer
    x = 357.66

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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.