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Finding the Fourth Proportional to 436.83, 602.74 and 297.27

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Solution

The fourth proportional to 436.83, 602.74 and 297.27 is: 410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.83 : 602.74 = 297.27 : x
  2. Step 2: Convert to fraction form
    436.83/602.74 = 297.27/x
  3. Step 3: Cross multiply
    436.83x = 602.74 × 297.27
  4. Step 4: Simplify right side
    436.83x = 179,176.89
  5. Step 5: Solve for x
    x = 179,176.89/436.83
  6. Step 6: Final answer
    x = 410.18

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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.