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Finding the Fourth Proportional to 372.35, 513.38 and 302.15

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Solution

The fourth proportional to 372.35, 513.38 and 302.15 is: 416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.35 : 513.38 = 302.15 : x
  2. Step 2: Convert to fraction form
    372.35/513.38 = 302.15/x
  3. Step 3: Cross multiply
    372.35x = 513.38 × 302.15
  4. Step 4: Simplify right side
    372.35x = 155,113.69
  5. Step 5: Solve for x
    x = 155,113.69/372.35
  6. Step 6: Final answer
    x = 416.59

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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.