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Finding the Fourth Proportional to 602.25, 903.42 and 342.15

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Solution

The fourth proportional to 602.25, 903.42 and 342.15 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 903.42 = 342.15 : x
  2. Step 2: Convert to fraction form
    602.25/903.42 = 342.15/x
  3. Step 3: Cross multiply
    602.25x = 903.42 × 342.15
  4. Step 4: Simplify right side
    602.25x = 309,105.15
  5. Step 5: Solve for x
    x = 309,105.15/602.25
  6. Step 6: Final answer
    x = 513.25

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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.