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Finding the Fourth Proportional to 436.62, 602.31 and 357.93

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Solution

The fourth proportional to 436.62, 602.31 and 357.93 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.62 : 602.31 = 357.93 : x
  2. Step 2: Convert to fraction form
    436.62/602.31 = 357.93/x
  3. Step 3: Cross multiply
    436.62x = 602.31 × 357.93
  4. Step 4: Simplify right side
    436.62x = 215,584.82
  5. Step 5: Solve for x
    x = 215,584.82/436.62
  6. Step 6: Final answer
    x = 493.76

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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.