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Finding the Fourth Proportional to 601.29, 900.26 and 308.16

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Solution

The fourth proportional to 601.29, 900.26 and 308.16 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.29 : 900.26 = 308.16 : x
  2. Step 2: Convert to fraction form
    601.29/900.26 = 308.16/x
  3. Step 3: Cross multiply
    601.29x = 900.26 × 308.16
  4. Step 4: Simplify right side
    601.29x = 277,424.12
  5. Step 5: Solve for x
    x = 277,424.12/601.29
  6. Step 6: Final answer
    x = 461.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.