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Finding the Fourth Proportional to 372.23, 512.16 and 297.58

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Solution

The fourth proportional to 372.23, 512.16 and 297.58 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.23 : 512.16 = 297.58 : x
  2. Step 2: Convert to fraction form
    372.23/512.16 = 297.58/x
  3. Step 3: Cross multiply
    372.23x = 512.16 × 297.58
  4. Step 4: Simplify right side
    372.23x = 152,406.01
  5. Step 5: Solve for x
    x = 152,406.01/372.23
  6. Step 6: Final answer
    x = 409.44

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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.