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Finding the Fourth Proportional to 602.21, 903.10 and 309.39

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Solution

The fourth proportional to 602.21, 903.10 and 309.39 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.21 : 903.10 = 309.39 : x
  2. Step 2: Convert to fraction form
    602.21/903.10 = 309.39/x
  3. Step 3: Cross multiply
    602.21x = 903.10 × 309.39
  4. Step 4: Simplify right side
    602.21x = 279,410.11
  5. Step 5: Solve for x
    x = 279,410.11/602.21
  6. Step 6: Final answer
    x = 463.97

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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.